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Finding the Fourth Proportional to 461.85, 693.08 and 187.95

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Solution

The fourth proportional to 461.85, 693.08 and 187.95 is: 282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.85 : 693.08 = 187.95 : x
  2. Step 2: Convert to fraction form
    461.85/693.08 = 187.95/x
  3. Step 3: Cross multiply
    461.85x = 693.08 × 187.95
  4. Step 4: Simplify right side
    461.85x = 130,263.45
  5. Step 5: Solve for x
    x = 130,263.45/461.85
  6. Step 6: Final answer
    x = 282.05

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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.