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Finding the Fourth Proportional to 175.41, 263.14 and 65.78

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Solution

The fourth proportional to 175.41, 263.14 and 65.78 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.41 : 263.14 = 65.78 : x
  2. Step 2: Convert to fraction form
    175.41/263.14 = 65.78/x
  3. Step 3: Cross multiply
    175.41x = 263.14 × 65.78
  4. Step 4: Simplify right side
    175.41x = 17,308.53
  5. Step 5: Solve for x
    x = 17,308.53/175.41
  6. Step 6: Final answer
    x = 98.67

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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.