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Finding the Fourth Proportional to 219.52, 302.72 and 141.76

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Solution

The fourth proportional to 219.52, 302.72 and 141.76 is: 195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.52 : 302.72 = 141.76 : x
  2. Step 2: Convert to fraction form
    219.52/302.72 = 141.76/x
  3. Step 3: Cross multiply
    219.52x = 302.72 × 141.76
  4. Step 4: Simplify right side
    219.52x = 42,913.59
  5. Step 5: Solve for x
    x = 42,913.59/219.52
  6. Step 6: Final answer
    x = 195.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.