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Finding the Fourth Proportional to 145.74, 200.97 and 143.58

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Solution

The fourth proportional to 145.74, 200.97 and 143.58 is: 197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 200.97 = 143.58 : x
  2. Step 2: Convert to fraction form
    145.74/200.97 = 143.58/x
  3. Step 3: Cross multiply
    145.74x = 200.97 × 143.58
  4. Step 4: Simplify right side
    145.74x = 28,855.27
  5. Step 5: Solve for x
    x = 28,855.27/145.74
  6. Step 6: Final answer
    x = 197.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.