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Finding the Fourth Proportional to 157.60, 237.62 and 137.22

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Solution

The fourth proportional to 157.60, 237.62 and 137.22 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.60 : 237.62 = 137.22 : x
  2. Step 2: Convert to fraction form
    157.60/237.62 = 137.22/x
  3. Step 3: Cross multiply
    157.60x = 237.62 × 137.22
  4. Step 4: Simplify right side
    157.60x = 32,606.22
  5. Step 5: Solve for x
    x = 32,606.22/157.60
  6. Step 6: Final answer
    x = 206.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.