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Finding the Fourth Proportional to 143.10, 214.52 and 136.40

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Solution

The fourth proportional to 143.10, 214.52 and 136.40 is: 204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.10 : 214.52 = 136.40 : x
  2. Step 2: Convert to fraction form
    143.10/214.52 = 136.40/x
  3. Step 3: Cross multiply
    143.10x = 214.52 × 136.40
  4. Step 4: Simplify right side
    143.10x = 29,258.77
  5. Step 5: Solve for x
    x = 29,258.77/143.10
  6. Step 6: Final answer
    x = 204.46

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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.