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Finding the Fourth Proportional to 305.28, 458.18 and 143.06

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Solution

The fourth proportional to 305.28, 458.18 and 143.06 is: 214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 458.18 = 143.06 : x
  2. Step 2: Convert to fraction form
    305.28/458.18 = 143.06/x
  3. Step 3: Cross multiply
    305.28x = 458.18 × 143.06
  4. Step 4: Simplify right side
    305.28x = 65,547.23
  5. Step 5: Solve for x
    x = 65,547.23/305.28
  6. Step 6: Final answer
    x = 214.71

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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.