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Finding the Fourth Proportional to 213.36, 320.40 and 141.24

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Solution

The fourth proportional to 213.36, 320.40 and 141.24 is: 212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 320.40 = 141.24 : x
  2. Step 2: Convert to fraction form
    213.36/320.40 = 141.24/x
  3. Step 3: Cross multiply
    213.36x = 320.40 × 141.24
  4. Step 4: Simplify right side
    213.36x = 45,253.30
  5. Step 5: Solve for x
    x = 45,253.30/213.36
  6. Step 6: Final answer
    x = 212.10

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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.