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Finding the Fourth Proportional to 196.19, 292.77 and 175.69

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Solution

The fourth proportional to 196.19, 292.77 and 175.69 is: 262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.19 : 292.77 = 175.69 : x
  2. Step 2: Convert to fraction form
    196.19/292.77 = 175.69/x
  3. Step 3: Cross multiply
    196.19x = 292.77 × 175.69
  4. Step 4: Simplify right side
    196.19x = 51,436.76
  5. Step 5: Solve for x
    x = 51,436.76/196.19
  6. Step 6: Final answer
    x = 262.18

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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.