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Finding the Fourth Proportional to 288.75, 432.72 and 166.77

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Solution

The fourth proportional to 288.75, 432.72 and 166.77 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.75 : 432.72 = 166.77 : x
  2. Step 2: Convert to fraction form
    288.75/432.72 = 166.77/x
  3. Step 3: Cross multiply
    288.75x = 432.72 × 166.77
  4. Step 4: Simplify right side
    288.75x = 72,164.71
  5. Step 5: Solve for x
    x = 72,164.71/288.75
  6. Step 6: Final answer
    x = 249.92

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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.