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Finding the Fourth Proportional to 285.68, 427.83 and 203.15

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Solution

The fourth proportional to 285.68, 427.83 and 203.15 is: 304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 427.83 = 203.15 : x
  2. Step 2: Convert to fraction form
    285.68/427.83 = 203.15/x
  3. Step 3: Cross multiply
    285.68x = 427.83 × 203.15
  4. Step 4: Simplify right side
    285.68x = 86,914.81
  5. Step 5: Solve for x
    x = 86,914.81/285.68
  6. Step 6: Final answer
    x = 304.24

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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.