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Finding the Fourth Proportional to 209.29, 288.83 and 156.74

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Solution

The fourth proportional to 209.29, 288.83 and 156.74 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.29 : 288.83 = 156.74 : x
  2. Step 2: Convert to fraction form
    209.29/288.83 = 156.74/x
  3. Step 3: Cross multiply
    209.29x = 288.83 × 156.74
  4. Step 4: Simplify right side
    209.29x = 45,271.33
  5. Step 5: Solve for x
    x = 45,271.33/209.29
  6. Step 6: Final answer
    x = 216.31

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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.