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Finding the Fourth Proportional to 307.99, 461.29 and 177.68

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Solution

The fourth proportional to 307.99, 461.29 and 177.68 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.99 : 461.29 = 177.68 : x
  2. Step 2: Convert to fraction form
    307.99/461.29 = 177.68/x
  3. Step 3: Cross multiply
    307.99x = 461.29 × 177.68
  4. Step 4: Simplify right side
    307.99x = 81,962.01
  5. Step 5: Solve for x
    x = 81,962.01/307.99
  6. Step 6: Final answer
    x = 266.12

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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.