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Finding the Fourth Proportional to 158.86, 236.71 and 141.84

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Solution

The fourth proportional to 158.86, 236.71 and 141.84 is: 211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.86 : 236.71 = 141.84 : x
  2. Step 2: Convert to fraction form
    158.86/236.71 = 141.84/x
  3. Step 3: Cross multiply
    158.86x = 236.71 × 141.84
  4. Step 4: Simplify right side
    158.86x = 33,574.95
  5. Step 5: Solve for x
    x = 33,574.95/158.86
  6. Step 6: Final answer
    x = 211.35

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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.