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Finding the Fourth Proportional to 196.77, 294.91 and 123.53

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Solution

The fourth proportional to 196.77, 294.91 and 123.53 is: 185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.77 : 294.91 = 123.53 : x
  2. Step 2: Convert to fraction form
    196.77/294.91 = 123.53/x
  3. Step 3: Cross multiply
    196.77x = 294.91 × 123.53
  4. Step 4: Simplify right side
    196.77x = 36,428.45
  5. Step 5: Solve for x
    x = 36,428.45/196.77
  6. Step 6: Final answer
    x = 185.13

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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.