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Finding the Fourth Proportional to 314.00, 470.81 and 131.52

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Solution

The fourth proportional to 314.00, 470.81 and 131.52 is: 197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.00 : 470.81 = 131.52 : x
  2. Step 2: Convert to fraction form
    314.00/470.81 = 131.52/x
  3. Step 3: Cross multiply
    314.00x = 470.81 × 131.52
  4. Step 4: Simplify right side
    314.00x = 61,920.27
  5. Step 5: Solve for x
    x = 61,920.27/314.00
  6. Step 6: Final answer
    x = 197.20

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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.