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Finding the Fourth Proportional to 245.48, 368.31 and 123.77

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Solution

The fourth proportional to 245.48, 368.31 and 123.77 is: 185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.48 : 368.31 = 123.77 : x
  2. Step 2: Convert to fraction form
    245.48/368.31 = 123.77/x
  3. Step 3: Cross multiply
    245.48x = 368.31 × 123.77
  4. Step 4: Simplify right side
    245.48x = 45,585.73
  5. Step 5: Solve for x
    x = 45,585.73/245.48
  6. Step 6: Final answer
    x = 185.70

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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.