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Finding the Fourth Proportional to 177.40, 266.19 and 96.24

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Solution

The fourth proportional to 177.40, 266.19 and 96.24 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 266.19 = 96.24 : x
  2. Step 2: Convert to fraction form
    177.40/266.19 = 96.24/x
  3. Step 3: Cross multiply
    177.40x = 266.19 × 96.24
  4. Step 4: Simplify right side
    177.40x = 25,618.13
  5. Step 5: Solve for x
    x = 25,618.13/177.40
  6. Step 6: Final answer
    x = 144.41

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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.