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Finding the Fourth Proportional to 312.57, 468.90 and 96.10

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Solution

The fourth proportional to 312.57, 468.90 and 96.10 is: 144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 468.90 = 96.10 : x
  2. Step 2: Convert to fraction form
    312.57/468.90 = 96.10/x
  3. Step 3: Cross multiply
    312.57x = 468.90 × 96.10
  4. Step 4: Simplify right side
    312.57x = 45,060.12
  5. Step 5: Solve for x
    x = 45,060.12/312.57
  6. Step 6: Final answer
    x = 144.16

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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.