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Finding the Fourth Proportional to 177.04, 264.96 and 142.72

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Solution

The fourth proportional to 177.04, 264.96 and 142.72 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.04 : 264.96 = 142.72 : x
  2. Step 2: Convert to fraction form
    177.04/264.96 = 142.72/x
  3. Step 3: Cross multiply
    177.04x = 264.96 × 142.72
  4. Step 4: Simplify right side
    177.04x = 37,815.09
  5. Step 5: Solve for x
    x = 37,815.09/177.04
  6. Step 6: Final answer
    x = 213.60

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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.