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Finding the Fourth Proportional to 461.37, 691.82 and 148.98

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Solution

The fourth proportional to 461.37, 691.82 and 148.98 is: 223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.37 : 691.82 = 148.98 : x
  2. Step 2: Convert to fraction form
    461.37/691.82 = 148.98/x
  3. Step 3: Cross multiply
    461.37x = 691.82 × 148.98
  4. Step 4: Simplify right side
    461.37x = 103,066.60
  5. Step 5: Solve for x
    x = 103,066.60/461.37
  6. Step 6: Final answer
    x = 223.39

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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.