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Finding the Fourth Proportional to 209.84, 314.84 and 101.66

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Solution

The fourth proportional to 209.84, 314.84 and 101.66 is: 152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.84 = 101.66 : x
  2. Step 2: Convert to fraction form
    209.84/314.84 = 101.66/x
  3. Step 3: Cross multiply
    209.84x = 314.84 × 101.66
  4. Step 4: Simplify right side
    209.84x = 32,006.63
  5. Step 5: Solve for x
    x = 32,006.63/209.84
  6. Step 6: Final answer
    x = 152.53

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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.