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Finding the Fourth Proportional to 312.71, 468.53 and 150.05

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Solution

The fourth proportional to 312.71, 468.53 and 150.05 is: 224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 468.53 = 150.05 : x
  2. Step 2: Convert to fraction form
    312.71/468.53 = 150.05/x
  3. Step 3: Cross multiply
    312.71x = 468.53 × 150.05
  4. Step 4: Simplify right side
    312.71x = 70,304.75
  5. Step 5: Solve for x
    x = 70,304.75/312.71
  6. Step 6: Final answer
    x = 224.82

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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.