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Finding the Fourth Proportional to 195.25, 292.87 and 58.30

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Solution

The fourth proportional to 195.25, 292.87 and 58.30 is: 87.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.25 : 292.87 = 58.30 : x
  2. Step 2: Convert to fraction form
    195.25/292.87 = 58.30/x
  3. Step 3: Cross multiply
    195.25x = 292.87 × 58.30
  4. Step 4: Simplify right side
    195.25x = 17,074.76
  5. Step 5: Solve for x
    x = 17,074.76/195.25
  6. Step 6: Final answer
    x = 87.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.