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Finding the Fourth Proportional to 288.16, 432.40 and 159.84

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Solution

The fourth proportional to 288.16, 432.40 and 159.84 is: 239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.16 : 432.40 = 159.84 : x
  2. Step 2: Convert to fraction form
    288.16/432.40 = 159.84/x
  3. Step 3: Cross multiply
    288.16x = 432.40 × 159.84
  4. Step 4: Simplify right side
    288.16x = 69,114.82
  5. Step 5: Solve for x
    x = 69,114.82/288.16
  6. Step 6: Final answer
    x = 239.85

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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.