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Finding the Fourth Proportional to 263.51, 363.65 and 147.08

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Solution

The fourth proportional to 263.51, 363.65 and 147.08 is: 202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.51 : 363.65 = 147.08 : x
  2. Step 2: Convert to fraction form
    263.51/363.65 = 147.08/x
  3. Step 3: Cross multiply
    263.51x = 363.65 × 147.08
  4. Step 4: Simplify right side
    263.51x = 53,485.64
  5. Step 5: Solve for x
    x = 53,485.64/263.51
  6. Step 6: Final answer
    x = 202.97

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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.