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Finding the Fourth Proportional to 176.02, 264.24 and 149.16

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Solution

The fourth proportional to 176.02, 264.24 and 149.16 is: 223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.02 : 264.24 = 149.16 : x
  2. Step 2: Convert to fraction form
    176.02/264.24 = 149.16/x
  3. Step 3: Cross multiply
    176.02x = 264.24 × 149.16
  4. Step 4: Simplify right side
    176.02x = 39,414.04
  5. Step 5: Solve for x
    x = 39,414.04/176.02
  6. Step 6: Final answer
    x = 223.92

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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.