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Finding the Fourth Proportional to 288.24, 432.52 and 166.80

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Solution

The fourth proportional to 288.24, 432.52 and 166.80 is: 250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 432.52 = 166.80 : x
  2. Step 2: Convert to fraction form
    288.24/432.52 = 166.80/x
  3. Step 3: Cross multiply
    288.24x = 432.52 × 166.80
  4. Step 4: Simplify right side
    288.24x = 72,144.34
  5. Step 5: Solve for x
    x = 72,144.34/288.24
  6. Step 6: Final answer
    x = 250.29

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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.