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Finding the Fourth Proportional to 157.84, 217.29 and 135.88

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Solution

The fourth proportional to 157.84, 217.29 and 135.88 is: 187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.84 : 217.29 = 135.88 : x
  2. Step 2: Convert to fraction form
    157.84/217.29 = 135.88/x
  3. Step 3: Cross multiply
    157.84x = 217.29 × 135.88
  4. Step 4: Simplify right side
    157.84x = 29,525.37
  5. Step 5: Solve for x
    x = 29,525.37/157.84
  6. Step 6: Final answer
    x = 187.06

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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.