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Finding the Fourth Proportional to 288.53, 432.80 and 96.16

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Solution

The fourth proportional to 288.53, 432.80 and 96.16 is: 144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.53 : 432.80 = 96.16 : x
  2. Step 2: Convert to fraction form
    288.53/432.80 = 96.16/x
  3. Step 3: Cross multiply
    288.53x = 432.80 × 96.16
  4. Step 4: Simplify right side
    288.53x = 41,615.88
  5. Step 5: Solve for x
    x = 41,615.88/288.53
  6. Step 6: Final answer
    x = 144.23

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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.