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Finding the Fourth Proportional to 213.42, 318.51 and 180.90

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Solution

The fourth proportional to 213.42, 318.51 and 180.90 is: 269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 318.51 = 180.90 : x
  2. Step 2: Convert to fraction form
    213.42/318.51 = 180.90/x
  3. Step 3: Cross multiply
    213.42x = 318.51 × 180.90
  4. Step 4: Simplify right side
    213.42x = 57,618.46
  5. Step 5: Solve for x
    x = 57,618.46/213.42
  6. Step 6: Final answer
    x = 269.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.