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Finding the Fourth Proportional to 287.08, 430.62 and 166.12

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Solution

The fourth proportional to 287.08, 430.62 and 166.12 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.08 : 430.62 = 166.12 : x
  2. Step 2: Convert to fraction form
    287.08/430.62 = 166.12/x
  3. Step 3: Cross multiply
    287.08x = 430.62 × 166.12
  4. Step 4: Simplify right side
    287.08x = 71,534.59
  5. Step 5: Solve for x
    x = 71,534.59/287.08
  6. Step 6: Final answer
    x = 249.18

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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.