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Finding the Fourth Proportional to 356.85, 534.62 and 194.67

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Solution

The fourth proportional to 356.85, 534.62 and 194.67 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.85 : 534.62 = 194.67 : x
  2. Step 2: Convert to fraction form
    356.85/534.62 = 194.67/x
  3. Step 3: Cross multiply
    356.85x = 534.62 × 194.67
  4. Step 4: Simplify right side
    356.85x = 104,073.50
  5. Step 5: Solve for x
    x = 104,073.50/356.85
  6. Step 6: Final answer
    x = 291.64

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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.