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Finding the Fourth Proportional to 312.52, 468.86 and 96.12

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Solution

The fourth proportional to 312.52, 468.86 and 96.12 is: 144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 468.86 = 96.12 : x
  2. Step 2: Convert to fraction form
    312.52/468.86 = 96.12/x
  3. Step 3: Cross multiply
    312.52x = 468.86 × 96.12
  4. Step 4: Simplify right side
    312.52x = 45,066.82
  5. Step 5: Solve for x
    x = 45,066.82/312.52
  6. Step 6: Final answer
    x = 144.20

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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.