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Finding the Fourth Proportional to 157.86, 235.67 and 137.39

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Solution

The fourth proportional to 157.86, 235.67 and 137.39 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.86 : 235.67 = 137.39 : x
  2. Step 2: Convert to fraction form
    157.86/235.67 = 137.39/x
  3. Step 3: Cross multiply
    157.86x = 235.67 × 137.39
  4. Step 4: Simplify right side
    157.86x = 32,376.84
  5. Step 5: Solve for x
    x = 32,376.84/157.86
  6. Step 6: Final answer
    x = 205.10

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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.