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Finding the Fourth Proportional to 259.22, 357.65 and 147.18

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Solution

The fourth proportional to 259.22, 357.65 and 147.18 is: 203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 357.65 = 147.18 : x
  2. Step 2: Convert to fraction form
    259.22/357.65 = 147.18/x
  3. Step 3: Cross multiply
    259.22x = 357.65 × 147.18
  4. Step 4: Simplify right side
    259.22x = 52,638.93
  5. Step 5: Solve for x
    x = 52,638.93/259.22
  6. Step 6: Final answer
    x = 203.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.