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Finding the Fourth Proportional to 337.02, 464.94 and 204.18

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Solution

The fourth proportional to 337.02, 464.94 and 204.18 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.02 : 464.94 = 204.18 : x
  2. Step 2: Convert to fraction form
    337.02/464.94 = 204.18/x
  3. Step 3: Cross multiply
    337.02x = 464.94 × 204.18
  4. Step 4: Simplify right side
    337.02x = 94,931.45
  5. Step 5: Solve for x
    x = 94,931.45/337.02
  6. Step 6: Final answer
    x = 281.68

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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.