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Finding the Fourth Proportional to 315.10, 434.84 and 184.12

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Solution

The fourth proportional to 315.10, 434.84 and 184.12 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 434.84 = 184.12 : x
  2. Step 2: Convert to fraction form
    315.10/434.84 = 184.12/x
  3. Step 3: Cross multiply
    315.10x = 434.84 × 184.12
  4. Step 4: Simplify right side
    315.10x = 80,062.74
  5. Step 5: Solve for x
    x = 80,062.74/315.10
  6. Step 6: Final answer
    x = 254.09

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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.