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Finding the Fourth Proportional to 158.11, 236.14 and 157.07

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Solution

The fourth proportional to 158.11, 236.14 and 157.07 is: 234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.11 : 236.14 = 157.07 : x
  2. Step 2: Convert to fraction form
    158.11/236.14 = 157.07/x
  3. Step 3: Cross multiply
    158.11x = 236.14 × 157.07
  4. Step 4: Simplify right side
    158.11x = 37,090.71
  5. Step 5: Solve for x
    x = 37,090.71/158.11
  6. Step 6: Final answer
    x = 234.59

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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.