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Finding the Fourth Proportional to 195.04, 294.64 and 193.24

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Solution

The fourth proportional to 195.04, 294.64 and 193.24 is: 291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.04 : 294.64 = 193.24 : x
  2. Step 2: Convert to fraction form
    195.04/294.64 = 193.24/x
  3. Step 3: Cross multiply
    195.04x = 294.64 × 193.24
  4. Step 4: Simplify right side
    195.04x = 56,936.23
  5. Step 5: Solve for x
    x = 56,936.23/195.04
  6. Step 6: Final answer
    x = 291.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.