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Finding the Fourth Proportional to 196.74, 294.87 and 144.60

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Solution

The fourth proportional to 196.74, 294.87 and 144.60 is: 216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 294.87 = 144.60 : x
  2. Step 2: Convert to fraction form
    196.74/294.87 = 144.60/x
  3. Step 3: Cross multiply
    196.74x = 294.87 × 144.60
  4. Step 4: Simplify right side
    196.74x = 42,638.20
  5. Step 5: Solve for x
    x = 42,638.20/196.74
  6. Step 6: Final answer
    x = 216.72

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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.