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Finding the Fourth Proportional to 474.66, 712.19 and 186.10

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Solution

The fourth proportional to 474.66, 712.19 and 186.10 is: 279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.66 : 712.19 = 186.10 : x
  2. Step 2: Convert to fraction form
    474.66/712.19 = 186.10/x
  3. Step 3: Cross multiply
    474.66x = 712.19 × 186.10
  4. Step 4: Simplify right side
    474.66x = 132,537.24
  5. Step 5: Solve for x
    x = 132,537.24/474.66
  6. Step 6: Final answer
    x = 279.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.