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Finding the Fourth Proportional to 214.02, 318.96 and 204.96

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Solution

The fourth proportional to 214.02, 318.96 and 204.96 is: 305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 318.96 = 204.96 : x
  2. Step 2: Convert to fraction form
    214.02/318.96 = 204.96/x
  3. Step 3: Cross multiply
    214.02x = 318.96 × 204.96
  4. Step 4: Simplify right side
    214.02x = 65,374.04
  5. Step 5: Solve for x
    x = 65,374.04/214.02
  6. Step 6: Final answer
    x = 305.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.