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Finding the Fourth Proportional to 288.13, 432.42 and 105.70

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Solution

The fourth proportional to 288.13, 432.42 and 105.70 is: 158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.13 : 432.42 = 105.70 : x
  2. Step 2: Convert to fraction form
    288.13/432.42 = 105.70/x
  3. Step 3: Cross multiply
    288.13x = 432.42 × 105.70
  4. Step 4: Simplify right side
    288.13x = 45,706.79
  5. Step 5: Solve for x
    x = 45,706.79/288.13
  6. Step 6: Final answer
    x = 158.63

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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.