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Finding the Fourth Proportional to 313.93, 470.49 and 151.53

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Solution

The fourth proportional to 313.93, 470.49 and 151.53 is: 227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.93 : 470.49 = 151.53 : x
  2. Step 2: Convert to fraction form
    313.93/470.49 = 151.53/x
  3. Step 3: Cross multiply
    313.93x = 470.49 × 151.53
  4. Step 4: Simplify right side
    313.93x = 71,293.35
  5. Step 5: Solve for x
    x = 71,293.35/313.93
  6. Step 6: Final answer
    x = 227.10

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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.