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Finding the Fourth Proportional to 288.59, 432.78 and 105.95

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Solution

The fourth proportional to 288.59, 432.78 and 105.95 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.59 : 432.78 = 105.95 : x
  2. Step 2: Convert to fraction form
    288.59/432.78 = 105.95/x
  3. Step 3: Cross multiply
    288.59x = 432.78 × 105.95
  4. Step 4: Simplify right side
    288.59x = 45,853.04
  5. Step 5: Solve for x
    x = 45,853.04/288.59
  6. Step 6: Final answer
    x = 158.89

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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.