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Finding the Fourth Proportional to 241.64, 362.78 and 177.40

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Solution

The fourth proportional to 241.64, 362.78 and 177.40 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.64 : 362.78 = 177.40 : x
  2. Step 2: Convert to fraction form
    241.64/362.78 = 177.40/x
  3. Step 3: Cross multiply
    241.64x = 362.78 × 177.40
  4. Step 4: Simplify right side
    241.64x = 64,357.17
  5. Step 5: Solve for x
    x = 64,357.17/241.64
  6. Step 6: Final answer
    x = 266.33

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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.