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Finding the Fourth Proportional to 291.84, 402.48 and 236.76

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Solution

The fourth proportional to 291.84, 402.48 and 236.76 is: 326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 402.48 = 236.76 : x
  2. Step 2: Convert to fraction form
    291.84/402.48 = 236.76/x
  3. Step 3: Cross multiply
    291.84x = 402.48 × 236.76
  4. Step 4: Simplify right side
    291.84x = 95,291.16
  5. Step 5: Solve for x
    x = 95,291.16/291.84
  6. Step 6: Final answer
    x = 326.52

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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.