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Finding the Fourth Proportional to 176.66, 264.68 and 142.24

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Solution

The fourth proportional to 176.66, 264.68 and 142.24 is: 213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.66 : 264.68 = 142.24 : x
  2. Step 2: Convert to fraction form
    176.66/264.68 = 142.24/x
  3. Step 3: Cross multiply
    176.66x = 264.68 × 142.24
  4. Step 4: Simplify right side
    176.66x = 37,648.08
  5. Step 5: Solve for x
    x = 37,648.08/176.66
  6. Step 6: Final answer
    x = 213.11

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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.