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Finding the Fourth Proportional to 314.60, 471.78 and 109.13

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Solution

The fourth proportional to 314.60, 471.78 and 109.13 is: 163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.60 : 471.78 = 109.13 : x
  2. Step 2: Convert to fraction form
    314.60/471.78 = 109.13/x
  3. Step 3: Cross multiply
    314.60x = 471.78 × 109.13
  4. Step 4: Simplify right side
    314.60x = 51,482.99
  5. Step 5: Solve for x
    x = 51,482.99/314.60
  6. Step 6: Final answer
    x = 163.65

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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.