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Finding the Fourth Proportional to 209.32, 313.18 and 180.02

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Solution

The fourth proportional to 209.32, 313.18 and 180.02 is: 269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 313.18 = 180.02 : x
  2. Step 2: Convert to fraction form
    209.32/313.18 = 180.02/x
  3. Step 3: Cross multiply
    209.32x = 313.18 × 180.02
  4. Step 4: Simplify right side
    209.32x = 56,378.66
  5. Step 5: Solve for x
    x = 56,378.66/209.32
  6. Step 6: Final answer
    x = 269.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.