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Finding the Fourth Proportional to 314.01, 470.86 and 108.52

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Solution

The fourth proportional to 314.01, 470.86 and 108.52 is: 162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.01 : 470.86 = 108.52 : x
  2. Step 2: Convert to fraction form
    314.01/470.86 = 108.52/x
  3. Step 3: Cross multiply
    314.01x = 470.86 × 108.52
  4. Step 4: Simplify right side
    314.01x = 51,097.18
  5. Step 5: Solve for x
    x = 51,097.18/314.01
  6. Step 6: Final answer
    x = 162.73

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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.