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Finding the Fourth Proportional to 307.58, 460.28 and 191.21

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Solution

The fourth proportional to 307.58, 460.28 and 191.21 is: 286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.58 : 460.28 = 191.21 : x
  2. Step 2: Convert to fraction form
    307.58/460.28 = 191.21/x
  3. Step 3: Cross multiply
    307.58x = 460.28 × 191.21
  4. Step 4: Simplify right side
    307.58x = 88,008.32
  5. Step 5: Solve for x
    x = 88,008.32/307.58
  6. Step 6: Final answer
    x = 286.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.