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Finding the Fourth Proportional to 461, 691.50 and 119

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Solution

The fourth proportional to 461, 691.50 and 119 is: 178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 691.50 = 119 : x
  2. Step 2: Convert to fraction form
    461/691.50 = 119/x
  3. Step 3: Cross multiply
    461x = 691.50 × 119
  4. Step 4: Simplify right side
    461x = 82,288.50
  5. Step 5: Solve for x
    x = 82,288.50/461
  6. Step 6: Final answer
    x = 178.50

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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.