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Finding the Fourth Proportional to 306.60, 460.08 and 144.20

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Solution

The fourth proportional to 306.60, 460.08 and 144.20 is: 216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.60 : 460.08 = 144.20 : x
  2. Step 2: Convert to fraction form
    306.60/460.08 = 144.20/x
  3. Step 3: Cross multiply
    306.60x = 460.08 × 144.20
  4. Step 4: Simplify right side
    306.60x = 66,341.24
  5. Step 5: Solve for x
    x = 66,341.24/306.60
  6. Step 6: Final answer
    x = 216.38

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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.