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Finding the Fourth Proportional to 209.57, 314.30 and 72.63

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Solution

The fourth proportional to 209.57, 314.30 and 72.63 is: 108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 314.30 = 72.63 : x
  2. Step 2: Convert to fraction form
    209.57/314.30 = 72.63/x
  3. Step 3: Cross multiply
    209.57x = 314.30 × 72.63
  4. Step 4: Simplify right side
    209.57x = 22,827.25
  5. Step 5: Solve for x
    x = 22,827.25/209.57
  6. Step 6: Final answer
    x = 108.93

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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.