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Finding the Fourth Proportional to 177.10, 265.67 and 61.53

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Solution

The fourth proportional to 177.10, 265.67 and 61.53 is: 92.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.10 : 265.67 = 61.53 : x
  2. Step 2: Convert to fraction form
    177.10/265.67 = 61.53/x
  3. Step 3: Cross multiply
    177.10x = 265.67 × 61.53
  4. Step 4: Simplify right side
    177.10x = 16,346.64
  5. Step 5: Solve for x
    x = 16,346.64/177.10
  6. Step 6: Final answer
    x = 92.30

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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.