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Finding the Fourth Proportional to 295.93, 443.40 and 133.75

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Solution

The fourth proportional to 295.93, 443.40 and 133.75 is: 200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.93 : 443.40 = 133.75 : x
  2. Step 2: Convert to fraction form
    295.93/443.40 = 133.75/x
  3. Step 3: Cross multiply
    295.93x = 443.40 × 133.75
  4. Step 4: Simplify right side
    295.93x = 59,304.75
  5. Step 5: Solve for x
    x = 59,304.75/295.93
  6. Step 6: Final answer
    x = 200.40

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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.