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Finding the Fourth Proportional to 189.50, 285.74 and 153.86

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Solution

The fourth proportional to 189.50, 285.74 and 153.86 is: 232.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.50 : 285.74 = 153.86 : x
  2. Step 2: Convert to fraction form
    189.50/285.74 = 153.86/x
  3. Step 3: Cross multiply
    189.50x = 285.74 × 153.86
  4. Step 4: Simplify right side
    189.50x = 43,963.96
  5. Step 5: Solve for x
    x = 43,963.96/189.50
  6. Step 6: Final answer
    x = 232.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.