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Finding the Fourth Proportional to 172.46, 257.61 and 146.66

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Solution

The fourth proportional to 172.46, 257.61 and 146.66 is: 219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.46 : 257.61 = 146.66 : x
  2. Step 2: Convert to fraction form
    172.46/257.61 = 146.66/x
  3. Step 3: Cross multiply
    172.46x = 257.61 × 146.66
  4. Step 4: Simplify right side
    172.46x = 37,780.35
  5. Step 5: Solve for x
    x = 37,780.35/172.46
  6. Step 6: Final answer
    x = 219.07

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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.