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Finding the Fourth Proportional to 288.35, 432.16 and 144.11

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Solution

The fourth proportional to 288.35, 432.16 and 144.11 is: 215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.35 : 432.16 = 144.11 : x
  2. Step 2: Convert to fraction form
    288.35/432.16 = 144.11/x
  3. Step 3: Cross multiply
    288.35x = 432.16 × 144.11
  4. Step 4: Simplify right side
    288.35x = 62,276.06
  5. Step 5: Solve for x
    x = 62,276.06/288.35
  6. Step 6: Final answer
    x = 215.98

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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.