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Finding the Fourth Proportional to 236.90, 326.98 and 157.14

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Solution

The fourth proportional to 236.90, 326.98 and 157.14 is: 216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.90 : 326.98 = 157.14 : x
  2. Step 2: Convert to fraction form
    236.90/326.98 = 157.14/x
  3. Step 3: Cross multiply
    236.90x = 326.98 × 157.14
  4. Step 4: Simplify right side
    236.90x = 51,381.64
  5. Step 5: Solve for x
    x = 51,381.64/236.90
  6. Step 6: Final answer
    x = 216.89

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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.