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Finding the Fourth Proportional to 306.74, 460.10 and 124.08

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Solution

The fourth proportional to 306.74, 460.10 and 124.08 is: 186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 460.10 = 124.08 : x
  2. Step 2: Convert to fraction form
    306.74/460.10 = 124.08/x
  3. Step 3: Cross multiply
    306.74x = 460.10 × 124.08
  4. Step 4: Simplify right side
    306.74x = 57,089.21
  5. Step 5: Solve for x
    x = 57,089.21/306.74
  6. Step 6: Final answer
    x = 186.12

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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.