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Finding the Fourth Proportional to 172.06, 257.86 and 146.20

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Solution

The fourth proportional to 172.06, 257.86 and 146.20 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.06 : 257.86 = 146.20 : x
  2. Step 2: Convert to fraction form
    172.06/257.86 = 146.20/x
  3. Step 3: Cross multiply
    172.06x = 257.86 × 146.20
  4. Step 4: Simplify right side
    172.06x = 37,699.13
  5. Step 5: Solve for x
    x = 37,699.13/172.06
  6. Step 6: Final answer
    x = 219.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.