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Finding the Fourth Proportional to 315.82, 473.80 and 96.46

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Solution

The fourth proportional to 315.82, 473.80 and 96.46 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.82 : 473.80 = 96.46 : x
  2. Step 2: Convert to fraction form
    315.82/473.80 = 96.46/x
  3. Step 3: Cross multiply
    315.82x = 473.80 × 96.46
  4. Step 4: Simplify right side
    315.82x = 45,702.75
  5. Step 5: Solve for x
    x = 45,702.75/315.82
  6. Step 6: Final answer
    x = 144.71

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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.