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Finding the Fourth Proportional to 199.42, 297.86 and 172.08

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Solution

The fourth proportional to 199.42, 297.86 and 172.08 is: 257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 297.86 = 172.08 : x
  2. Step 2: Convert to fraction form
    199.42/297.86 = 172.08/x
  3. Step 3: Cross multiply
    199.42x = 297.86 × 172.08
  4. Step 4: Simplify right side
    199.42x = 51,254.89
  5. Step 5: Solve for x
    x = 51,254.89/199.42
  6. Step 6: Final answer
    x = 257.02

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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.