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Finding the Fourth Proportional to 157.11, 235.45 and 140.76

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Solution

The fourth proportional to 157.11, 235.45 and 140.76 is: 210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.11 : 235.45 = 140.76 : x
  2. Step 2: Convert to fraction form
    157.11/235.45 = 140.76/x
  3. Step 3: Cross multiply
    157.11x = 235.45 × 140.76
  4. Step 4: Simplify right side
    157.11x = 33,141.94
  5. Step 5: Solve for x
    x = 33,141.94/157.11
  6. Step 6: Final answer
    x = 210.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.