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Finding the Fourth Proportional to 259.06, 357.45 and 147.03

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Solution

The fourth proportional to 259.06, 357.45 and 147.03 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.06 : 357.45 = 147.03 : x
  2. Step 2: Convert to fraction form
    259.06/357.45 = 147.03/x
  3. Step 3: Cross multiply
    259.06x = 357.45 × 147.03
  4. Step 4: Simplify right side
    259.06x = 52,555.87
  5. Step 5: Solve for x
    x = 52,555.87/259.06
  6. Step 6: Final answer
    x = 202.87

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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.