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Finding the Fourth Proportional to 312.97, 469.47 and 96.70

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Solution

The fourth proportional to 312.97, 469.47 and 96.70 is: 145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.97 : 469.47 = 96.70 : x
  2. Step 2: Convert to fraction form
    312.97/469.47 = 96.70/x
  3. Step 3: Cross multiply
    312.97x = 469.47 × 96.70
  4. Step 4: Simplify right side
    312.97x = 45,397.75
  5. Step 5: Solve for x
    x = 45,397.75/312.97
  6. Step 6: Final answer
    x = 145.05

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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.