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Finding the Fourth Proportional to 161.16, 223.59 and 155.40

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Solution

The fourth proportional to 161.16, 223.59 and 155.40 is: 215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 223.59 = 155.40 : x
  2. Step 2: Convert to fraction form
    161.16/223.59 = 155.40/x
  3. Step 3: Cross multiply
    161.16x = 223.59 × 155.40
  4. Step 4: Simplify right side
    161.16x = 34,745.89
  5. Step 5: Solve for x
    x = 34,745.89/161.16
  6. Step 6: Final answer
    x = 215.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.