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Finding the Fourth Proportional to 209.97, 314.69 and 152.39

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Solution

The fourth proportional to 209.97, 314.69 and 152.39 is: 228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 314.69 = 152.39 : x
  2. Step 2: Convert to fraction form
    209.97/314.69 = 152.39/x
  3. Step 3: Cross multiply
    209.97x = 314.69 × 152.39
  4. Step 4: Simplify right side
    209.97x = 47,954.42
  5. Step 5: Solve for x
    x = 47,954.42/209.97
  6. Step 6: Final answer
    x = 228.39

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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.