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Finding the Fourth Proportional to 209.78, 314.85 and 101.65

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Solution

The fourth proportional to 209.78, 314.85 and 101.65 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 314.85 = 101.65 : x
  2. Step 2: Convert to fraction form
    209.78/314.85 = 101.65/x
  3. Step 3: Cross multiply
    209.78x = 314.85 × 101.65
  4. Step 4: Simplify right side
    209.78x = 32,004.50
  5. Step 5: Solve for x
    x = 32,004.50/209.78
  6. Step 6: Final answer
    x = 152.56

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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.