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Finding the Fourth Proportional to 209.36, 288.79 and 147.24

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Solution

The fourth proportional to 209.36, 288.79 and 147.24 is: 203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.36 : 288.79 = 147.24 : x
  2. Step 2: Convert to fraction form
    209.36/288.79 = 147.24/x
  3. Step 3: Cross multiply
    209.36x = 288.79 × 147.24
  4. Step 4: Simplify right side
    209.36x = 42,522.30
  5. Step 5: Solve for x
    x = 42,522.30/209.36
  6. Step 6: Final answer
    x = 203.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.