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Finding the Fourth Proportional to 196.04, 294.24 and 88.04

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Solution

The fourth proportional to 196.04, 294.24 and 88.04 is: 132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 294.24 = 88.04 : x
  2. Step 2: Convert to fraction form
    196.04/294.24 = 88.04/x
  3. Step 3: Cross multiply
    196.04x = 294.24 × 88.04
  4. Step 4: Simplify right side
    196.04x = 25,904.89
  5. Step 5: Solve for x
    x = 25,904.89/196.04
  6. Step 6: Final answer
    x = 132.14

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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.