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Finding the Fourth Proportional to 174.99, 241.47 and 130.77

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Solution

The fourth proportional to 174.99, 241.47 and 130.77 is: 180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.99 : 241.47 = 130.77 : x
  2. Step 2: Convert to fraction form
    174.99/241.47 = 130.77/x
  3. Step 3: Cross multiply
    174.99x = 241.47 × 130.77
  4. Step 4: Simplify right side
    174.99x = 31,577.03
  5. Step 5: Solve for x
    x = 31,577.03/174.99
  6. Step 6: Final answer
    x = 180.45

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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.