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Finding the Fourth Proportional to 172.85, 258.23 and 152.78

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Solution

The fourth proportional to 172.85, 258.23 and 152.78 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.85 : 258.23 = 152.78 : x
  2. Step 2: Convert to fraction form
    172.85/258.23 = 152.78/x
  3. Step 3: Cross multiply
    172.85x = 258.23 × 152.78
  4. Step 4: Simplify right side
    172.85x = 39,451.47
  5. Step 5: Solve for x
    x = 39,451.47/172.85
  6. Step 6: Final answer
    x = 228.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.