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Finding the Fourth Proportional to 177.13, 265.80 and 138.68

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Solution

The fourth proportional to 177.13, 265.80 and 138.68 is: 208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.13 : 265.80 = 138.68 : x
  2. Step 2: Convert to fraction form
    177.13/265.80 = 138.68/x
  3. Step 3: Cross multiply
    177.13x = 265.80 × 138.68
  4. Step 4: Simplify right side
    177.13x = 36,861.14
  5. Step 5: Solve for x
    x = 36,861.14/177.13
  6. Step 6: Final answer
    x = 208.10

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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.