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Finding the Fourth Proportional to 410.49, 615.74 and 121.95

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Solution

The fourth proportional to 410.49, 615.74 and 121.95 is: 182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 615.74 = 121.95 : x
  2. Step 2: Convert to fraction form
    410.49/615.74 = 121.95/x
  3. Step 3: Cross multiply
    410.49x = 615.74 × 121.95
  4. Step 4: Simplify right side
    410.49x = 75,088.88
  5. Step 5: Solve for x
    x = 75,088.88/410.49
  6. Step 6: Final answer
    x = 182.93

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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.