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Finding the Fourth Proportional to 461, 691.60 and 152.84

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Solution

The fourth proportional to 461, 691.60 and 152.84 is: 229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 691.60 = 152.84 : x
  2. Step 2: Convert to fraction form
    461/691.60 = 152.84/x
  3. Step 3: Cross multiply
    461x = 691.60 × 152.84
  4. Step 4: Simplify right side
    461x = 105,704.14
  5. Step 5: Solve for x
    x = 105,704.14/461
  6. Step 6: Final answer
    x = 229.29

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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.