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Finding the Fourth Proportional to 189.48, 284.21 and 52.53

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Solution

The fourth proportional to 189.48, 284.21 and 52.53 is: 78.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.48 : 284.21 = 52.53 : x
  2. Step 2: Convert to fraction form
    189.48/284.21 = 52.53/x
  3. Step 3: Cross multiply
    189.48x = 284.21 × 52.53
  4. Step 4: Simplify right side
    189.48x = 14,929.55
  5. Step 5: Solve for x
    x = 14,929.55/189.48
  6. Step 6: Final answer
    x = 78.79

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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.