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Finding the Fourth Proportional to 236.58, 354.84 and 82.50

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Solution

The fourth proportional to 236.58, 354.84 and 82.50 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.58 : 354.84 = 82.50 : x
  2. Step 2: Convert to fraction form
    236.58/354.84 = 82.50/x
  3. Step 3: Cross multiply
    236.58x = 354.84 × 82.50
  4. Step 4: Simplify right side
    236.58x = 29,274.30
  5. Step 5: Solve for x
    x = 29,274.30/236.58
  6. Step 6: Final answer
    x = 123.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.