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Finding the Fourth Proportional to 213.34, 318.57 and 174.90

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Solution

The fourth proportional to 213.34, 318.57 and 174.90 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 318.57 = 174.90 : x
  2. Step 2: Convert to fraction form
    213.34/318.57 = 174.90/x
  3. Step 3: Cross multiply
    213.34x = 318.57 × 174.90
  4. Step 4: Simplify right side
    213.34x = 55,717.89
  5. Step 5: Solve for x
    x = 55,717.89/213.34
  6. Step 6: Final answer
    x = 261.17

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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.