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Finding the Fourth Proportional to 259.03, 357.44 and 154.11

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Solution

The fourth proportional to 259.03, 357.44 and 154.11 is: 212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.03 : 357.44 = 154.11 : x
  2. Step 2: Convert to fraction form
    259.03/357.44 = 154.11/x
  3. Step 3: Cross multiply
    259.03x = 357.44 × 154.11
  4. Step 4: Simplify right side
    259.03x = 55,085.08
  5. Step 5: Solve for x
    x = 55,085.08/259.03
  6. Step 6: Final answer
    x = 212.66

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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.