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Finding the Fourth Proportional to 287.52, 430.96 and 165.84

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Solution

The fourth proportional to 287.52, 430.96 and 165.84 is: 248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.52 : 430.96 = 165.84 : x
  2. Step 2: Convert to fraction form
    287.52/430.96 = 165.84/x
  3. Step 3: Cross multiply
    287.52x = 430.96 × 165.84
  4. Step 4: Simplify right side
    287.52x = 71,470.41
  5. Step 5: Solve for x
    x = 71,470.41/287.52
  6. Step 6: Final answer
    x = 248.58

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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.