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Finding the Fourth Proportional to 196.47, 292.98 and 174.78

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Solution

The fourth proportional to 196.47, 292.98 and 174.78 is: 260.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.47 : 292.98 = 174.78 : x
  2. Step 2: Convert to fraction form
    196.47/292.98 = 174.78/x
  3. Step 3: Cross multiply
    196.47x = 292.98 × 174.78
  4. Step 4: Simplify right side
    196.47x = 51,207.04
  5. Step 5: Solve for x
    x = 51,207.04/196.47
  6. Step 6: Final answer
    x = 260.64

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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.