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Finding the Fourth Proportional to 287.32, 430.76 and 142.96

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Solution

The fourth proportional to 287.32, 430.76 and 142.96 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 430.76 = 142.96 : x
  2. Step 2: Convert to fraction form
    287.32/430.76 = 142.96/x
  3. Step 3: Cross multiply
    287.32x = 430.76 × 142.96
  4. Step 4: Simplify right side
    287.32x = 61,580.73
  5. Step 5: Solve for x
    x = 61,580.73/287.32
  6. Step 6: Final answer
    x = 214.33

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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.