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Finding the Fourth Proportional to 141.64, 212.61 and 119.06

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Solution

The fourth proportional to 141.64, 212.61 and 119.06 is: 178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.64 : 212.61 = 119.06 : x
  2. Step 2: Convert to fraction form
    141.64/212.61 = 119.06/x
  3. Step 3: Cross multiply
    141.64x = 212.61 × 119.06
  4. Step 4: Simplify right side
    141.64x = 25,313.35
  5. Step 5: Solve for x
    x = 25,313.35/141.64
  6. Step 6: Final answer
    x = 178.72

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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.