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Finding the Fourth Proportional to 177.70, 244.99 and 146.08

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Solution

The fourth proportional to 177.70, 244.99 and 146.08 is: 201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.70 : 244.99 = 146.08 : x
  2. Step 2: Convert to fraction form
    177.70/244.99 = 146.08/x
  3. Step 3: Cross multiply
    177.70x = 244.99 × 146.08
  4. Step 4: Simplify right side
    177.70x = 35,788.14
  5. Step 5: Solve for x
    x = 35,788.14/177.70
  6. Step 6: Final answer
    x = 201.40

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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.