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Finding the Fourth Proportional to 141.68, 210.86 and 141.23

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Solution

The fourth proportional to 141.68, 210.86 and 141.23 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.68 : 210.86 = 141.23 : x
  2. Step 2: Convert to fraction form
    141.68/210.86 = 141.23/x
  3. Step 3: Cross multiply
    141.68x = 210.86 × 141.23
  4. Step 4: Simplify right side
    141.68x = 29,778.00
  5. Step 5: Solve for x
    x = 29,778.00/141.68
  6. Step 6: Final answer
    x = 210.19

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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.