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Finding the Fourth Proportional to 203.55, 304.74 and 152.43

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Solution

The fourth proportional to 203.55, 304.74 and 152.43 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.55 : 304.74 = 152.43 : x
  2. Step 2: Convert to fraction form
    203.55/304.74 = 152.43/x
  3. Step 3: Cross multiply
    203.55x = 304.74 × 152.43
  4. Step 4: Simplify right side
    203.55x = 46,451.52
  5. Step 5: Solve for x
    x = 46,451.52/203.55
  6. Step 6: Final answer
    x = 228.21

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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.