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Finding the Fourth Proportional to 281.11, 419.18 and 261.63

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Solution

The fourth proportional to 281.11, 419.18 and 261.63 is: 390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.11 : 419.18 = 261.63 : x
  2. Step 2: Convert to fraction form
    281.11/419.18 = 261.63/x
  3. Step 3: Cross multiply
    281.11x = 419.18 × 261.63
  4. Step 4: Simplify right side
    281.11x = 109,672.29
  5. Step 5: Solve for x
    x = 109,672.29/281.11
  6. Step 6: Final answer
    x = 390.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.