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Finding the Fourth Proportional to 307.13, 460.28 and 151.07

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Solution

The fourth proportional to 307.13, 460.28 and 151.07 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 460.28 = 151.07 : x
  2. Step 2: Convert to fraction form
    307.13/460.28 = 151.07/x
  3. Step 3: Cross multiply
    307.13x = 460.28 × 151.07
  4. Step 4: Simplify right side
    307.13x = 69,532.58
  5. Step 5: Solve for x
    x = 69,532.58/307.13
  6. Step 6: Final answer
    x = 226.40

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