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Finding the Fourth Proportional to 288.90, 432.41 and 167.13

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Solution

The fourth proportional to 288.90, 432.41 and 167.13 is: 250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 432.41 = 167.13 : x
  2. Step 2: Convert to fraction form
    288.90/432.41 = 167.13/x
  3. Step 3: Cross multiply
    288.90x = 432.41 × 167.13
  4. Step 4: Simplify right side
    288.90x = 72,267.85
  5. Step 5: Solve for x
    x = 72,267.85/288.90
  6. Step 6: Final answer
    x = 250.15

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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.