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Finding the Fourth Proportional to 355.89, 491.07 and 216.06

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Solution

The fourth proportional to 355.89, 491.07 and 216.06 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.89 : 491.07 = 216.06 : x
  2. Step 2: Convert to fraction form
    355.89/491.07 = 216.06/x
  3. Step 3: Cross multiply
    355.89x = 491.07 × 216.06
  4. Step 4: Simplify right side
    355.89x = 106,100.58
  5. Step 5: Solve for x
    x = 106,100.58/355.89
  6. Step 6: Final answer
    x = 298.13

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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.