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Finding the Fourth Proportional to 209.12, 288.43 and 147.02

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Solution

The fourth proportional to 209.12, 288.43 and 147.02 is: 202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.12 : 288.43 = 147.02 : x
  2. Step 2: Convert to fraction form
    209.12/288.43 = 147.02/x
  3. Step 3: Cross multiply
    209.12x = 288.43 × 147.02
  4. Step 4: Simplify right side
    209.12x = 42,403.17
  5. Step 5: Solve for x
    x = 42,403.17/209.12
  6. Step 6: Final answer
    x = 202.77

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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.