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Finding the Fourth Proportional to 356.68, 534.30 and 234.76

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Solution

The fourth proportional to 356.68, 534.30 and 234.76 is: 351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.68 : 534.30 = 234.76 : x
  2. Step 2: Convert to fraction form
    356.68/534.30 = 234.76/x
  3. Step 3: Cross multiply
    356.68x = 534.30 × 234.76
  4. Step 4: Simplify right side
    356.68x = 125,432.27
  5. Step 5: Solve for x
    x = 125,432.27/356.68
  6. Step 6: Final answer
    x = 351.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.