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Finding the Fourth Proportional to 241.99, 363.06 and 177.06

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Solution

The fourth proportional to 241.99, 363.06 and 177.06 is: 265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.99 : 363.06 = 177.06 : x
  2. Step 2: Convert to fraction form
    241.99/363.06 = 177.06/x
  3. Step 3: Cross multiply
    241.99x = 363.06 × 177.06
  4. Step 4: Simplify right side
    241.99x = 64,283.40
  5. Step 5: Solve for x
    x = 64,283.40/241.99
  6. Step 6: Final answer
    x = 265.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.