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Finding the Fourth Proportional to 228.02, 314.01 and 162.41

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Solution

The fourth proportional to 228.02, 314.01 and 162.41 is: 223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.02 : 314.01 = 162.41 : x
  2. Step 2: Convert to fraction form
    228.02/314.01 = 162.41/x
  3. Step 3: Cross multiply
    228.02x = 314.01 × 162.41
  4. Step 4: Simplify right side
    228.02x = 50,996.79
  5. Step 5: Solve for x
    x = 50,996.79/228.02
  6. Step 6: Final answer
    x = 223.66

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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.