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Finding the Fourth Proportional to 177.18, 265.66 and 112.26

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Solution

The fourth proportional to 177.18, 265.66 and 112.26 is: 168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.18 : 265.66 = 112.26 : x
  2. Step 2: Convert to fraction form
    177.18/265.66 = 112.26/x
  3. Step 3: Cross multiply
    177.18x = 265.66 × 112.26
  4. Step 4: Simplify right side
    177.18x = 29,822.99
  5. Step 5: Solve for x
    x = 29,822.99/177.18
  6. Step 6: Final answer
    x = 168.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.