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Finding the Fourth Proportional to 209.02, 288.30 and 135.22

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Solution

The fourth proportional to 209.02, 288.30 and 135.22 is: 186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 288.30 = 135.22 : x
  2. Step 2: Convert to fraction form
    209.02/288.30 = 135.22/x
  3. Step 3: Cross multiply
    209.02x = 288.30 × 135.22
  4. Step 4: Simplify right side
    209.02x = 38,983.93
  5. Step 5: Solve for x
    x = 38,983.93/209.02
  6. Step 6: Final answer
    x = 186.51

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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.