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Finding the Fourth Proportional to 196.05, 269.96 and 152.13

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Solution

The fourth proportional to 196.05, 269.96 and 152.13 is: 209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.05 : 269.96 = 152.13 : x
  2. Step 2: Convert to fraction form
    196.05/269.96 = 152.13/x
  3. Step 3: Cross multiply
    196.05x = 269.96 × 152.13
  4. Step 4: Simplify right side
    196.05x = 41,068.25
  5. Step 5: Solve for x
    x = 41,068.25/196.05
  6. Step 6: Final answer
    x = 209.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.