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Finding the Fourth Proportional to 177.12, 265.14 and 116.10

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Solution

The fourth proportional to 177.12, 265.14 and 116.10 is: 173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 265.14 = 116.10 : x
  2. Step 2: Convert to fraction form
    177.12/265.14 = 116.10/x
  3. Step 3: Cross multiply
    177.12x = 265.14 × 116.10
  4. Step 4: Simplify right side
    177.12x = 30,782.75
  5. Step 5: Solve for x
    x = 30,782.75/177.12
  6. Step 6: Final answer
    x = 173.80

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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.