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Finding the Fourth Proportional to 190.53, 284.19 and 184.77

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Solution

The fourth proportional to 190.53, 284.19 and 184.77 is: 275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.53 : 284.19 = 184.77 : x
  2. Step 2: Convert to fraction form
    190.53/284.19 = 184.77/x
  3. Step 3: Cross multiply
    190.53x = 284.19 × 184.77
  4. Step 4: Simplify right side
    190.53x = 52,508.86
  5. Step 5: Solve for x
    x = 52,508.86/190.53
  6. Step 6: Final answer
    x = 275.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.