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Finding the Fourth Proportional to 338.06, 466.58 and 207.02

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Solution

The fourth proportional to 338.06, 466.58 and 207.02 is: 285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.06 : 466.58 = 207.02 : x
  2. Step 2: Convert to fraction form
    338.06/466.58 = 207.02/x
  3. Step 3: Cross multiply
    338.06x = 466.58 × 207.02
  4. Step 4: Simplify right side
    338.06x = 96,591.39
  5. Step 5: Solve for x
    x = 96,591.39/338.06
  6. Step 6: Final answer
    x = 285.72

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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.