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Finding the Fourth Proportional to 307.29, 460.96 and 186.10

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Solution

The fourth proportional to 307.29, 460.96 and 186.10 is: 279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.29 : 460.96 = 186.10 : x
  2. Step 2: Convert to fraction form
    307.29/460.96 = 186.10/x
  3. Step 3: Cross multiply
    307.29x = 460.96 × 186.10
  4. Step 4: Simplify right side
    307.29x = 85,783.04
  5. Step 5: Solve for x
    x = 85,783.04/307.29
  6. Step 6: Final answer
    x = 279.16

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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.