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Finding the Fourth Proportional to 140.69, 210.01 and 135.56

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Solution

The fourth proportional to 140.69, 210.01 and 135.56 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.69 : 210.01 = 135.56 : x
  2. Step 2: Convert to fraction form
    140.69/210.01 = 135.56/x
  3. Step 3: Cross multiply
    140.69x = 210.01 × 135.56
  4. Step 4: Simplify right side
    140.69x = 28,468.96
  5. Step 5: Solve for x
    x = 28,468.96/140.69
  6. Step 6: Final answer
    x = 202.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.