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Finding the Fourth Proportional to 356.14, 491.40 and 216.23

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Solution

The fourth proportional to 356.14, 491.40 and 216.23 is: 298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.14 : 491.40 = 216.23 : x
  2. Step 2: Convert to fraction form
    356.14/491.40 = 216.23/x
  3. Step 3: Cross multiply
    356.14x = 491.40 × 216.23
  4. Step 4: Simplify right side
    356.14x = 106,255.42
  5. Step 5: Solve for x
    x = 106,255.42/356.14
  6. Step 6: Final answer
    x = 298.35

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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.