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Finding the Fourth Proportional to 315.16, 434.97 and 184.28

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Solution

The fourth proportional to 315.16, 434.97 and 184.28 is: 254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.16 : 434.97 = 184.28 : x
  2. Step 2: Convert to fraction form
    315.16/434.97 = 184.28/x
  3. Step 3: Cross multiply
    315.16x = 434.97 × 184.28
  4. Step 4: Simplify right side
    315.16x = 80,154.10
  5. Step 5: Solve for x
    x = 80,154.10/315.16
  6. Step 6: Final answer
    x = 254.33

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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.