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Finding the Fourth Proportional to 285.23, 427.88 and 102.66

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Solution

The fourth proportional to 285.23, 427.88 and 102.66 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.23 : 427.88 = 102.66 : x
  2. Step 2: Convert to fraction form
    285.23/427.88 = 102.66/x
  3. Step 3: Cross multiply
    285.23x = 427.88 × 102.66
  4. Step 4: Simplify right side
    285.23x = 43,928.02
  5. Step 5: Solve for x
    x = 43,928.02/285.23
  6. Step 6: Final answer
    x = 154.01

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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.