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Finding the Fourth Proportional to 177.44, 266.24 and 96.16

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Solution

The fourth proportional to 177.44, 266.24 and 96.16 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.44 : 266.24 = 96.16 : x
  2. Step 2: Convert to fraction form
    177.44/266.24 = 96.16/x
  3. Step 3: Cross multiply
    177.44x = 266.24 × 96.16
  4. Step 4: Simplify right side
    177.44x = 25,601.64
  5. Step 5: Solve for x
    x = 25,601.64/177.44
  6. Step 6: Final answer
    x = 144.28

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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.