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Finding the Fourth Proportional to 306.68, 460.22 and 152.64

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Solution

The fourth proportional to 306.68, 460.22 and 152.64 is: 229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.68 : 460.22 = 152.64 : x
  2. Step 2: Convert to fraction form
    306.68/460.22 = 152.64/x
  3. Step 3: Cross multiply
    306.68x = 460.22 × 152.64
  4. Step 4: Simplify right side
    306.68x = 70,247.22
  5. Step 5: Solve for x
    x = 70,247.22/306.68
  6. Step 6: Final answer
    x = 229.06

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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.