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Finding the Fourth Proportional to 461.11, 691.67 and 152.98

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Solution

The fourth proportional to 461.11, 691.67 and 152.98 is: 229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.11 : 691.67 = 152.98 : x
  2. Step 2: Convert to fraction form
    461.11/691.67 = 152.98/x
  3. Step 3: Cross multiply
    461.11x = 691.67 × 152.98
  4. Step 4: Simplify right side
    461.11x = 105,811.68
  5. Step 5: Solve for x
    x = 105,811.68/461.11
  6. Step 6: Final answer
    x = 229.47

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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.