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Finding the Fourth Proportional to 196.34, 294.51 and 52.07

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Solution

The fourth proportional to 196.34, 294.51 and 52.07 is: 78.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 294.51 = 52.07 : x
  2. Step 2: Convert to fraction form
    196.34/294.51 = 52.07/x
  3. Step 3: Cross multiply
    196.34x = 294.51 × 52.07
  4. Step 4: Simplify right side
    196.34x = 15,335.14
  5. Step 5: Solve for x
    x = 15,335.14/196.34
  6. Step 6: Final answer
    x = 78.11

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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.