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Finding the Fourth Proportional to 219.12, 302.55 and 172.72

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Solution

The fourth proportional to 219.12, 302.55 and 172.72 is: 238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.12 : 302.55 = 172.72 : x
  2. Step 2: Convert to fraction form
    219.12/302.55 = 172.72/x
  3. Step 3: Cross multiply
    219.12x = 302.55 × 172.72
  4. Step 4: Simplify right side
    219.12x = 52,256.44
  5. Step 5: Solve for x
    x = 52,256.44/219.12
  6. Step 6: Final answer
    x = 238.48

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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.