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Finding the Fourth Proportional to 315.14, 434.70 and 210.22

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Solution

The fourth proportional to 315.14, 434.70 and 210.22 is: 289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 434.70 = 210.22 : x
  2. Step 2: Convert to fraction form
    315.14/434.70 = 210.22/x
  3. Step 3: Cross multiply
    315.14x = 434.70 × 210.22
  4. Step 4: Simplify right side
    315.14x = 91,382.63
  5. Step 5: Solve for x
    x = 91,382.63/315.14
  6. Step 6: Final answer
    x = 289.97

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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.