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Finding the Fourth Proportional to 288.23, 432.38 and 158.18

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Solution

The fourth proportional to 288.23, 432.38 and 158.18 is: 237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 432.38 = 158.18 : x
  2. Step 2: Convert to fraction form
    288.23/432.38 = 158.18/x
  3. Step 3: Cross multiply
    288.23x = 432.38 × 158.18
  4. Step 4: Simplify right side
    288.23x = 68,392.10
  5. Step 5: Solve for x
    x = 68,392.10/288.23
  6. Step 6: Final answer
    x = 237.29

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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.