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Finding the Fourth Proportional to 285, 427.74 and 114

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Solution

The fourth proportional to 285, 427.74 and 114 is: 171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 427.74 = 114 : x
  2. Step 2: Convert to fraction form
    285/427.74 = 114/x
  3. Step 3: Cross multiply
    285x = 427.74 × 114
  4. Step 4: Simplify right side
    285x = 48,762.36
  5. Step 5: Solve for x
    x = 48,762.36/285
  6. Step 6: Final answer
    x = 171.10

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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.