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Finding the Fourth Proportional to 245.74, 368.60 and 115.70

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Solution

The fourth proportional to 245.74, 368.60 and 115.70 is: 173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.74 : 368.60 = 115.70 : x
  2. Step 2: Convert to fraction form
    245.74/368.60 = 115.70/x
  3. Step 3: Cross multiply
    245.74x = 368.60 × 115.70
  4. Step 4: Simplify right side
    245.74x = 42,647.02
  5. Step 5: Solve for x
    x = 42,647.02/245.74
  6. Step 6: Final answer
    x = 173.55

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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.