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Finding the Fourth Proportional to 209.10, 288.35 and 156.56

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Solution

The fourth proportional to 209.10, 288.35 and 156.56 is: 215.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.10 : 288.35 = 156.56 : x
  2. Step 2: Convert to fraction form
    209.10/288.35 = 156.56/x
  3. Step 3: Cross multiply
    209.10x = 288.35 × 156.56
  4. Step 4: Simplify right side
    209.10x = 45,141.85
  5. Step 5: Solve for x
    x = 45,141.85/209.10
  6. Step 6: Final answer
    x = 215.89

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