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Finding the Fourth Proportional to 315.05, 434.66 and 216.63

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Solution

The fourth proportional to 315.05, 434.66 and 216.63 is: 298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.05 : 434.66 = 216.63 : x
  2. Step 2: Convert to fraction form
    315.05/434.66 = 216.63/x
  3. Step 3: Cross multiply
    315.05x = 434.66 × 216.63
  4. Step 4: Simplify right side
    315.05x = 94,159.31
  5. Step 5: Solve for x
    x = 94,159.31/315.05
  6. Step 6: Final answer
    x = 298.88

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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.