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Finding the Fourth Proportional to 200.96, 300.60 and 152.48

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Solution

The fourth proportional to 200.96, 300.60 and 152.48 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.96 : 300.60 = 152.48 : x
  2. Step 2: Convert to fraction form
    200.96/300.60 = 152.48/x
  3. Step 3: Cross multiply
    200.96x = 300.60 × 152.48
  4. Step 4: Simplify right side
    200.96x = 45,835.49
  5. Step 5: Solve for x
    x = 45,835.49/200.96
  6. Step 6: Final answer
    x = 228.08

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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.