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Finding the Fourth Proportional to 287.12, 430.52 and 116.08

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Solution

The fourth proportional to 287.12, 430.52 and 116.08 is: 174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.12 : 430.52 = 116.08 : x
  2. Step 2: Convert to fraction form
    287.12/430.52 = 116.08/x
  3. Step 3: Cross multiply
    287.12x = 430.52 × 116.08
  4. Step 4: Simplify right side
    287.12x = 49,974.76
  5. Step 5: Solve for x
    x = 49,974.76/287.12
  6. Step 6: Final answer
    x = 174.06

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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.