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Finding the Fourth Proportional to 241, 361.50 and 117.58

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Solution

The fourth proportional to 241, 361.50 and 117.58 is: 176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 361.50 = 117.58 : x
  2. Step 2: Convert to fraction form
    241/361.50 = 117.58/x
  3. Step 3: Cross multiply
    241x = 361.50 × 117.58
  4. Step 4: Simplify right side
    241x = 42,505.17
  5. Step 5: Solve for x
    x = 42,505.17/241
  6. Step 6: Final answer
    x = 176.37

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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.