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Finding the Fourth Proportional to 228.85, 315.88 and 150.03

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Solution

The fourth proportional to 228.85, 315.88 and 150.03 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.85 : 315.88 = 150.03 : x
  2. Step 2: Convert to fraction form
    228.85/315.88 = 150.03/x
  3. Step 3: Cross multiply
    228.85x = 315.88 × 150.03
  4. Step 4: Simplify right side
    228.85x = 47,391.10
  5. Step 5: Solve for x
    x = 47,391.10/228.85
  6. Step 6: Final answer
    x = 207.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.