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Finding the Fourth Proportional to 209.46, 313.86 and 101.16

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Solution

The fourth proportional to 209.46, 313.86 and 101.16 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.46 : 313.86 = 101.16 : x
  2. Step 2: Convert to fraction form
    209.46/313.86 = 101.16/x
  3. Step 3: Cross multiply
    209.46x = 313.86 × 101.16
  4. Step 4: Simplify right side
    209.46x = 31,750.08
  5. Step 5: Solve for x
    x = 31,750.08/209.46
  6. Step 6: Final answer
    x = 151.58

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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.