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Finding the Fourth Proportional to 253.18, 379.74 and 70.52

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Solution

The fourth proportional to 253.18, 379.74 and 70.52 is: 105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 379.74 = 70.52 : x
  2. Step 2: Convert to fraction form
    253.18/379.74 = 70.52/x
  3. Step 3: Cross multiply
    253.18x = 379.74 × 70.52
  4. Step 4: Simplify right side
    253.18x = 26,779.37
  5. Step 5: Solve for x
    x = 26,779.37/253.18
  6. Step 6: Final answer
    x = 105.77

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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.