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Finding the Fourth Proportional to 340.41, 469.68 and 216.02

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Solution

The fourth proportional to 340.41, 469.68 and 216.02 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 469.68 = 216.02 : x
  2. Step 2: Convert to fraction form
    340.41/469.68 = 216.02/x
  3. Step 3: Cross multiply
    340.41x = 469.68 × 216.02
  4. Step 4: Simplify right side
    340.41x = 101,459.73
  5. Step 5: Solve for x
    x = 101,459.73/340.41
  6. Step 6: Final answer
    x = 298.06

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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.