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Finding the Fourth Proportional to 307.23, 460.85 and 124.58

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Solution

The fourth proportional to 307.23, 460.85 and 124.58 is: 186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.23 : 460.85 = 124.58 : x
  2. Step 2: Convert to fraction form
    307.23/460.85 = 124.58/x
  3. Step 3: Cross multiply
    307.23x = 460.85 × 124.58
  4. Step 4: Simplify right side
    307.23x = 57,409.77
  5. Step 5: Solve for x
    x = 57,409.77/307.23
  6. Step 6: Final answer
    x = 186.86

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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.