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Finding the Fourth Proportional to 228.82, 315.69 and 150.18

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Solution

The fourth proportional to 228.82, 315.69 and 150.18 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.82 : 315.69 = 150.18 : x
  2. Step 2: Convert to fraction form
    228.82/315.69 = 150.18/x
  3. Step 3: Cross multiply
    228.82x = 315.69 × 150.18
  4. Step 4: Simplify right side
    228.82x = 47,410.32
  5. Step 5: Solve for x
    x = 47,410.32/228.82
  6. Step 6: Final answer
    x = 207.19

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Why These Related Problems?

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