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Finding the Fourth Proportional to 314.16, 471.30 and 149.68

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Solution

The fourth proportional to 314.16, 471.30 and 149.68 is: 224.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 471.30 = 149.68 : x
  2. Step 2: Convert to fraction form
    314.16/471.30 = 149.68/x
  3. Step 3: Cross multiply
    314.16x = 471.30 × 149.68
  4. Step 4: Simplify right side
    314.16x = 70,544.18
  5. Step 5: Solve for x
    x = 70,544.18/314.16
  6. Step 6: Final answer
    x = 224.55

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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.