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Finding the Fourth Proportional to 209.56, 288.96 and 157

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Solution

The fourth proportional to 209.56, 288.96 and 157 is: 216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 288.96 = 157 : x
  2. Step 2: Convert to fraction form
    209.56/288.96 = 157/x
  3. Step 3: Cross multiply
    209.56x = 288.96 × 157
  4. Step 4: Simplify right side
    209.56x = 45,366.72
  5. Step 5: Solve for x
    x = 45,366.72/209.56
  6. Step 6: Final answer
    x = 216.49

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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.