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Finding the Fourth Proportional to 161.21, 221.29 and 152

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Solution

The fourth proportional to 161.21, 221.29 and 152 is: 208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 221.29 = 152 : x
  2. Step 2: Convert to fraction form
    161.21/221.29 = 152/x
  3. Step 3: Cross multiply
    161.21x = 221.29 × 152
  4. Step 4: Simplify right side
    161.21x = 33,636.08
  5. Step 5: Solve for x
    x = 33,636.08/161.21
  6. Step 6: Final answer
    x = 208.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.