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Finding the Fourth Proportional to 176.78, 244.13 and 146.00

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Solution

The fourth proportional to 176.78, 244.13 and 146.00 is: 201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 244.13 = 146.00 : x
  2. Step 2: Convert to fraction form
    176.78/244.13 = 146.00/x
  3. Step 3: Cross multiply
    176.78x = 244.13 × 146.00
  4. Step 4: Simplify right side
    176.78x = 35,641.03
  5. Step 5: Solve for x
    x = 35,641.03/176.78
  6. Step 6: Final answer
    x = 201.62

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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.