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Finding the Fourth Proportional to 145.34, 201.42 and 142.62

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Solution

The fourth proportional to 145.34, 201.42 and 142.62 is: 197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 201.42 = 142.62 : x
  2. Step 2: Convert to fraction form
    145.34/201.42 = 142.62/x
  3. Step 3: Cross multiply
    145.34x = 201.42 × 142.62
  4. Step 4: Simplify right side
    145.34x = 28,726.52
  5. Step 5: Solve for x
    x = 28,726.52/145.34
  6. Step 6: Final answer
    x = 197.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.