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Finding the Fourth Proportional to 314.65, 434.22 and 204.34

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Solution

The fourth proportional to 314.65, 434.22 and 204.34 is: 281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.65 : 434.22 = 204.34 : x
  2. Step 2: Convert to fraction form
    314.65/434.22 = 204.34/x
  3. Step 3: Cross multiply
    314.65x = 434.22 × 204.34
  4. Step 4: Simplify right side
    314.65x = 88,728.51
  5. Step 5: Solve for x
    x = 88,728.51/314.65
  6. Step 6: Final answer
    x = 281.99

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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.