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Finding the Fourth Proportional to 288.52, 432.18 and 185.52

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Solution

The fourth proportional to 288.52, 432.18 and 185.52 is: 277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 432.18 = 185.52 : x
  2. Step 2: Convert to fraction form
    288.52/432.18 = 185.52/x
  3. Step 3: Cross multiply
    288.52x = 432.18 × 185.52
  4. Step 4: Simplify right side
    288.52x = 80,178.03
  5. Step 5: Solve for x
    x = 80,178.03/288.52
  6. Step 6: Final answer
    x = 277.89

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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.