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Finding the Fourth Proportional to 288.79, 432.68 and 158.65

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Solution

The fourth proportional to 288.79, 432.68 and 158.65 is: 237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.79 : 432.68 = 158.65 : x
  2. Step 2: Convert to fraction form
    288.79/432.68 = 158.65/x
  3. Step 3: Cross multiply
    288.79x = 432.68 × 158.65
  4. Step 4: Simplify right side
    288.79x = 68,642.81
  5. Step 5: Solve for x
    x = 68,642.81/288.79
  6. Step 6: Final answer
    x = 237.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.