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Finding the Fourth Proportional to 307.17, 460.33 and 177.09

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Solution

The fourth proportional to 307.17, 460.33 and 177.09 is: 265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.17 : 460.33 = 177.09 : x
  2. Step 2: Convert to fraction form
    307.17/460.33 = 177.09/x
  3. Step 3: Cross multiply
    307.17x = 460.33 × 177.09
  4. Step 4: Simplify right side
    307.17x = 81,518.67
  5. Step 5: Solve for x
    x = 81,518.67/307.17
  6. Step 6: Final answer
    x = 265.39

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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.