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Finding the Fourth Proportional to 157.78, 235.49 and 139.56

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Solution

The fourth proportional to 157.78, 235.49 and 139.56 is: 208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.78 : 235.49 = 139.56 : x
  2. Step 2: Convert to fraction form
    157.78/235.49 = 139.56/x
  3. Step 3: Cross multiply
    157.78x = 235.49 × 139.56
  4. Step 4: Simplify right side
    157.78x = 32,864.98
  5. Step 5: Solve for x
    x = 32,864.98/157.78
  6. Step 6: Final answer
    x = 208.30

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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.