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Finding the Fourth Proportional to 241.29, 332.98 and 130.77

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Solution

The fourth proportional to 241.29, 332.98 and 130.77 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.29 : 332.98 = 130.77 : x
  2. Step 2: Convert to fraction form
    241.29/332.98 = 130.77/x
  3. Step 3: Cross multiply
    241.29x = 332.98 × 130.77
  4. Step 4: Simplify right side
    241.29x = 43,542.71
  5. Step 5: Solve for x
    x = 43,542.71/241.29
  6. Step 6: Final answer
    x = 180.46

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