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Finding the Fourth Proportional to 219.10, 302.12 and 151.67

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Solution

The fourth proportional to 219.10, 302.12 and 151.67 is: 209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.10 : 302.12 = 151.67 : x
  2. Step 2: Convert to fraction form
    219.10/302.12 = 151.67/x
  3. Step 3: Cross multiply
    219.10x = 302.12 × 151.67
  4. Step 4: Simplify right side
    219.10x = 45,822.54
  5. Step 5: Solve for x
    x = 45,822.54/219.10
  6. Step 6: Final answer
    x = 209.14

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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.