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Finding the Fourth Proportional to 288.56, 432.96 and 144.32

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Solution

The fourth proportional to 288.56, 432.96 and 144.32 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.56 : 432.96 = 144.32 : x
  2. Step 2: Convert to fraction form
    288.56/432.96 = 144.32/x
  3. Step 3: Cross multiply
    288.56x = 432.96 × 144.32
  4. Step 4: Simplify right side
    288.56x = 62,484.79
  5. Step 5: Solve for x
    x = 62,484.79/288.56
  6. Step 6: Final answer
    x = 216.54

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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.