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Finding the Fourth Proportional to 312.75, 469.20 and 96.35

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Solution

The fourth proportional to 312.75, 469.20 and 96.35 is: 144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 469.20 = 96.35 : x
  2. Step 2: Convert to fraction form
    312.75/469.20 = 96.35/x
  3. Step 3: Cross multiply
    312.75x = 469.20 × 96.35
  4. Step 4: Simplify right side
    312.75x = 45,207.42
  5. Step 5: Solve for x
    x = 45,207.42/312.75
  6. Step 6: Final answer
    x = 144.55

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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.