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Finding the Fourth Proportional to 228.98, 342.90 and 147.83

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Solution

The fourth proportional to 228.98, 342.90 and 147.83 is: 221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.98 : 342.90 = 147.83 : x
  2. Step 2: Convert to fraction form
    228.98/342.90 = 147.83/x
  3. Step 3: Cross multiply
    228.98x = 342.90 × 147.83
  4. Step 4: Simplify right side
    228.98x = 50,690.91
  5. Step 5: Solve for x
    x = 50,690.91/228.98
  6. Step 6: Final answer
    x = 221.38

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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.