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Finding the Fourth Proportional to 141.48, 210.74 and 119.34

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Solution

The fourth proportional to 141.48, 210.74 and 119.34 is: 177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.48 : 210.74 = 119.34 : x
  2. Step 2: Convert to fraction form
    141.48/210.74 = 119.34/x
  3. Step 3: Cross multiply
    141.48x = 210.74 × 119.34
  4. Step 4: Simplify right side
    141.48x = 25,149.11
  5. Step 5: Solve for x
    x = 25,149.11/141.48
  6. Step 6: Final answer
    x = 177.76

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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.