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Finding the Fourth Proportional to 143.40, 214.04 and 140.72

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Solution

The fourth proportional to 143.40, 214.04 and 140.72 is: 210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 214.04 = 140.72 : x
  2. Step 2: Convert to fraction form
    143.40/214.04 = 140.72/x
  3. Step 3: Cross multiply
    143.40x = 214.04 × 140.72
  4. Step 4: Simplify right side
    143.40x = 30,119.71
  5. Step 5: Solve for x
    x = 30,119.71/143.40
  6. Step 6: Final answer
    x = 210.04

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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.