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Finding the Fourth Proportional to 288.52, 432.46 and 166.84

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Solution

The fourth proportional to 288.52, 432.46 and 166.84 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 432.46 = 166.84 : x
  2. Step 2: Convert to fraction form
    288.52/432.46 = 166.84/x
  3. Step 3: Cross multiply
    288.52x = 432.46 × 166.84
  4. Step 4: Simplify right side
    288.52x = 72,151.63
  5. Step 5: Solve for x
    x = 72,151.63/288.52
  6. Step 6: Final answer
    x = 250.07

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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.