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Finding the Fourth Proportional to 195.40, 293.14 and 58.44

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Solution

The fourth proportional to 195.40, 293.14 and 58.44 is: 87.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.40 : 293.14 = 58.44 : x
  2. Step 2: Convert to fraction form
    195.40/293.14 = 58.44/x
  3. Step 3: Cross multiply
    195.40x = 293.14 × 58.44
  4. Step 4: Simplify right side
    195.40x = 17,131.10
  5. Step 5: Solve for x
    x = 17,131.10/195.40
  6. Step 6: Final answer
    x = 87.67

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Why These Related Problems?

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