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Finding the Fourth Proportional to 305.64, 458.63 and 143.30

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Solution

The fourth proportional to 305.64, 458.63 and 143.30 is: 215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 458.63 = 143.30 : x
  2. Step 2: Convert to fraction form
    305.64/458.63 = 143.30/x
  3. Step 3: Cross multiply
    305.64x = 458.63 × 143.30
  4. Step 4: Simplify right side
    305.64x = 65,722.65
  5. Step 5: Solve for x
    x = 65,722.65/305.64
  6. Step 6: Final answer
    x = 215.03

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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.