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Finding the Fourth Proportional to 285.37, 427.57 and 102.65

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Solution

The fourth proportional to 285.37, 427.57 and 102.65 is: 153.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.37 : 427.57 = 102.65 : x
  2. Step 2: Convert to fraction form
    285.37/427.57 = 102.65/x
  3. Step 3: Cross multiply
    285.37x = 427.57 × 102.65
  4. Step 4: Simplify right side
    285.37x = 43,887.67
  5. Step 5: Solve for x
    x = 43,887.67/285.37
  6. Step 6: Final answer
    x = 153.79

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