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Finding the Fourth Proportional to 209.86, 314.86 and 101.66

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Solution

The fourth proportional to 209.86, 314.86 and 101.66 is: 152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 314.86 = 101.66 : x
  2. Step 2: Convert to fraction form
    209.86/314.86 = 101.66/x
  3. Step 3: Cross multiply
    209.86x = 314.86 × 101.66
  4. Step 4: Simplify right side
    209.86x = 32,008.67
  5. Step 5: Solve for x
    x = 32,008.67/209.86
  6. Step 6: Final answer
    x = 152.52

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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.