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Finding the Fourth Proportional to 312.13, 430.71 and 214.03

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Solution

The fourth proportional to 312.13, 430.71 and 214.03 is: 295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.13 : 430.71 = 214.03 : x
  2. Step 2: Convert to fraction form
    312.13/430.71 = 214.03/x
  3. Step 3: Cross multiply
    312.13x = 430.71 × 214.03
  4. Step 4: Simplify right side
    312.13x = 92,182.71
  5. Step 5: Solve for x
    x = 92,182.71/312.13
  6. Step 6: Final answer
    x = 295.34

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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.