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Finding the Fourth Proportional to 176.13, 264.49 and 145.75

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Solution

The fourth proportional to 176.13, 264.49 and 145.75 is: 218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.13 : 264.49 = 145.75 : x
  2. Step 2: Convert to fraction form
    176.13/264.49 = 145.75/x
  3. Step 3: Cross multiply
    176.13x = 264.49 × 145.75
  4. Step 4: Simplify right side
    176.13x = 38,549.42
  5. Step 5: Solve for x
    x = 38,549.42/176.13
  6. Step 6: Final answer
    x = 218.87

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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.