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Finding the Fourth Proportional to 314.74, 434.16 and 216.34

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Solution

The fourth proportional to 314.74, 434.16 and 216.34 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.74 : 434.16 = 216.34 : x
  2. Step 2: Convert to fraction form
    314.74/434.16 = 216.34/x
  3. Step 3: Cross multiply
    314.74x = 434.16 × 216.34
  4. Step 4: Simplify right side
    314.74x = 93,926.17
  5. Step 5: Solve for x
    x = 93,926.17/314.74
  6. Step 6: Final answer
    x = 298.42

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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.