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Finding the Fourth Proportional to 175.51, 241.92 and 153.64

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Solution

The fourth proportional to 175.51, 241.92 and 153.64 is: 211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.51 : 241.92 = 153.64 : x
  2. Step 2: Convert to fraction form
    175.51/241.92 = 153.64/x
  3. Step 3: Cross multiply
    175.51x = 241.92 × 153.64
  4. Step 4: Simplify right side
    175.51x = 37,168.89
  5. Step 5: Solve for x
    x = 37,168.89/175.51
  6. Step 6: Final answer
    x = 211.77

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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.