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Finding the Fourth Proportional to 195.60, 293.51 and 189.53

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Solution

The fourth proportional to 195.60, 293.51 and 189.53 is: 284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 293.51 = 189.53 : x
  2. Step 2: Convert to fraction form
    195.60/293.51 = 189.53/x
  3. Step 3: Cross multiply
    195.60x = 293.51 × 189.53
  4. Step 4: Simplify right side
    195.60x = 55,628.95
  5. Step 5: Solve for x
    x = 55,628.95/195.60
  6. Step 6: Final answer
    x = 284.40

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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.