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Finding the Fourth Proportional to 176.31, 264.48 and 95.04

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Solution

The fourth proportional to 176.31, 264.48 and 95.04 is: 142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.31 : 264.48 = 95.04 : x
  2. Step 2: Convert to fraction form
    176.31/264.48 = 95.04/x
  3. Step 3: Cross multiply
    176.31x = 264.48 × 95.04
  4. Step 4: Simplify right side
    176.31x = 25,136.18
  5. Step 5: Solve for x
    x = 25,136.18/176.31
  6. Step 6: Final answer
    x = 142.57

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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.