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Finding the Fourth Proportional to 203.18, 304.93 and 157.42

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Solution

The fourth proportional to 203.18, 304.93 and 157.42 is: 236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.18 : 304.93 = 157.42 : x
  2. Step 2: Convert to fraction form
    203.18/304.93 = 157.42/x
  3. Step 3: Cross multiply
    203.18x = 304.93 × 157.42
  4. Step 4: Simplify right side
    203.18x = 48,002.08
  5. Step 5: Solve for x
    x = 48,002.08/203.18
  6. Step 6: Final answer
    x = 236.25

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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.