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Finding the Fourth Proportional to 145.44, 199.08 and 140.52

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Solution

The fourth proportional to 145.44, 199.08 and 140.52 is: 192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.44 : 199.08 = 140.52 : x
  2. Step 2: Convert to fraction form
    145.44/199.08 = 140.52/x
  3. Step 3: Cross multiply
    145.44x = 199.08 × 140.52
  4. Step 4: Simplify right side
    145.44x = 27,974.72
  5. Step 5: Solve for x
    x = 27,974.72/145.44
  6. Step 6: Final answer
    x = 192.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.