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Finding the Fourth Proportional to 143.16, 212.06 and 141.54

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Solution

The fourth proportional to 143.16, 212.06 and 141.54 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.16 : 212.06 = 141.54 : x
  2. Step 2: Convert to fraction form
    143.16/212.06 = 141.54/x
  3. Step 3: Cross multiply
    143.16x = 212.06 × 141.54
  4. Step 4: Simplify right side
    143.16x = 30,014.26
  5. Step 5: Solve for x
    x = 30,014.26/143.16
  6. Step 6: Final answer
    x = 209.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.