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Finding the Fourth Proportional to 189.77, 284.66 and 59.78

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Solution

The fourth proportional to 189.77, 284.66 and 59.78 is: 89.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.77 : 284.66 = 59.78 : x
  2. Step 2: Convert to fraction form
    189.77/284.66 = 59.78/x
  3. Step 3: Cross multiply
    189.77x = 284.66 × 59.78
  4. Step 4: Simplify right side
    189.77x = 17,015.25
  5. Step 5: Solve for x
    x = 17,015.25/189.77
  6. Step 6: Final answer
    x = 89.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.