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Finding the Fourth Proportional to 258.10, 386.65 and 149.56

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Solution

The fourth proportional to 258.10, 386.65 and 149.56 is: 224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 386.65 = 149.56 : x
  2. Step 2: Convert to fraction form
    258.10/386.65 = 149.56/x
  3. Step 3: Cross multiply
    258.10x = 386.65 × 149.56
  4. Step 4: Simplify right side
    258.10x = 57,827.37
  5. Step 5: Solve for x
    x = 57,827.37/258.10
  6. Step 6: Final answer
    x = 224.05

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