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Finding the Fourth Proportional to 314, 470.42 and 149.18

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Solution

The fourth proportional to 314, 470.42 and 149.18 is: 223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 470.42 = 149.18 : x
  2. Step 2: Convert to fraction form
    314/470.42 = 149.18/x
  3. Step 3: Cross multiply
    314x = 470.42 × 149.18
  4. Step 4: Simplify right side
    314x = 70,177.26
  5. Step 5: Solve for x
    x = 70,177.26/314
  6. Step 6: Final answer
    x = 223.49

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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.