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Finding the Fourth Proportional to 195.35, 294.10 and 175.50

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Solution

The fourth proportional to 195.35, 294.10 and 175.50 is: 264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.35 : 294.10 = 175.50 : x
  2. Step 2: Convert to fraction form
    195.35/294.10 = 175.50/x
  3. Step 3: Cross multiply
    195.35x = 294.10 × 175.50
  4. Step 4: Simplify right side
    195.35x = 51,614.11
  5. Step 5: Solve for x
    x = 51,614.11/195.35
  6. Step 6: Final answer
    x = 264.22

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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.