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Finding the Fourth Proportional to 209.16, 288.56 and 146.96

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Solution

The fourth proportional to 209.16, 288.56 and 146.96 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 288.56 = 146.96 : x
  2. Step 2: Convert to fraction form
    209.16/288.56 = 146.96/x
  3. Step 3: Cross multiply
    209.16x = 288.56 × 146.96
  4. Step 4: Simplify right side
    209.16x = 42,406.78
  5. Step 5: Solve for x
    x = 42,406.78/209.16
  6. Step 6: Final answer
    x = 202.75

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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.