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Finding the Fourth Proportional to 474.72, 712.38 and 186.16

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Solution

The fourth proportional to 474.72, 712.38 and 186.16 is: 279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.72 : 712.38 = 186.16 : x
  2. Step 2: Convert to fraction form
    474.72/712.38 = 186.16/x
  3. Step 3: Cross multiply
    474.72x = 712.38 × 186.16
  4. Step 4: Simplify right side
    474.72x = 132,616.66
  5. Step 5: Solve for x
    x = 132,616.66/474.72
  6. Step 6: Final answer
    x = 279.36

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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.