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Finding the Fourth Proportional to 315.14, 434.89 and 184.17

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Solution

The fourth proportional to 315.14, 434.89 and 184.17 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 434.89 = 184.17 : x
  2. Step 2: Convert to fraction form
    315.14/434.89 = 184.17/x
  3. Step 3: Cross multiply
    315.14x = 434.89 × 184.17
  4. Step 4: Simplify right side
    315.14x = 80,096.07
  5. Step 5: Solve for x
    x = 80,096.07/315.14
  6. Step 6: Final answer
    x = 254.16

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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.