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Finding the Fourth Proportional to 157.39, 216.68 and 136.58

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Solution

The fourth proportional to 157.39, 216.68 and 136.58 is: 188.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.39 : 216.68 = 136.58 : x
  2. Step 2: Convert to fraction form
    157.39/216.68 = 136.58/x
  3. Step 3: Cross multiply
    157.39x = 216.68 × 136.58
  4. Step 4: Simplify right side
    157.39x = 29,594.01
  5. Step 5: Solve for x
    x = 29,594.01/157.39
  6. Step 6: Final answer
    x = 188.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.