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Finding the Fourth Proportional to 298.54, 412.06 and 172.52

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Solution

The fourth proportional to 298.54, 412.06 and 172.52 is: 238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.54 : 412.06 = 172.52 : x
  2. Step 2: Convert to fraction form
    298.54/412.06 = 172.52/x
  3. Step 3: Cross multiply
    298.54x = 412.06 × 172.52
  4. Step 4: Simplify right side
    298.54x = 71,088.59
  5. Step 5: Solve for x
    x = 71,088.59/298.54
  6. Step 6: Final answer
    x = 238.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.