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Finding the Fourth Proportional to 172.72, 238.71 and 152.47

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Solution

The fourth proportional to 172.72, 238.71 and 152.47 is: 210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.72 : 238.71 = 152.47 : x
  2. Step 2: Convert to fraction form
    172.72/238.71 = 152.47/x
  3. Step 3: Cross multiply
    172.72x = 238.71 × 152.47
  4. Step 4: Simplify right side
    172.72x = 36,396.11
  5. Step 5: Solve for x
    x = 36,396.11/172.72
  6. Step 6: Final answer
    x = 210.72

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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.