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Finding the Fourth Proportional to 291.86, 401.73 and 242.18

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Solution

The fourth proportional to 291.86, 401.73 and 242.18 is: 333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.86 : 401.73 = 242.18 : x
  2. Step 2: Convert to fraction form
    291.86/401.73 = 242.18/x
  3. Step 3: Cross multiply
    291.86x = 401.73 × 242.18
  4. Step 4: Simplify right side
    291.86x = 97,290.97
  5. Step 5: Solve for x
    x = 97,290.97/291.86
  6. Step 6: Final answer
    x = 333.35

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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.