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Finding the Fourth Proportional to 145.76, 202.22 and 140.48

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Solution

The fourth proportional to 145.76, 202.22 and 140.48 is: 194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 202.22 = 140.48 : x
  2. Step 2: Convert to fraction form
    145.76/202.22 = 140.48/x
  3. Step 3: Cross multiply
    145.76x = 202.22 × 140.48
  4. Step 4: Simplify right side
    145.76x = 28,407.87
  5. Step 5: Solve for x
    x = 28,407.87/145.76
  6. Step 6: Final answer
    x = 194.89

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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.