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Finding the Fourth Proportional to 287.22, 430.52 and 132.92

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Solution

The fourth proportional to 287.22, 430.52 and 132.92 is: 199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.22 : 430.52 = 132.92 : x
  2. Step 2: Convert to fraction form
    287.22/430.52 = 132.92/x
  3. Step 3: Cross multiply
    287.22x = 430.52 × 132.92
  4. Step 4: Simplify right side
    287.22x = 57,222.90
  5. Step 5: Solve for x
    x = 57,222.90/287.22
  6. Step 6: Final answer
    x = 199.23

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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.