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Finding the Fourth Proportional to 209.64, 314.20 and 101.18

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Solution

The fourth proportional to 209.64, 314.20 and 101.18 is: 151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 314.20 = 101.18 : x
  2. Step 2: Convert to fraction form
    209.64/314.20 = 101.18/x
  3. Step 3: Cross multiply
    209.64x = 314.20 × 101.18
  4. Step 4: Simplify right side
    209.64x = 31,790.76
  5. Step 5: Solve for x
    x = 31,790.76/209.64
  6. Step 6: Final answer
    x = 151.64

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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.