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Finding the Fourth Proportional to 175.64, 264.60 and 148.31

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Solution

The fourth proportional to 175.64, 264.60 and 148.31 is: 223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.64 : 264.60 = 148.31 : x
  2. Step 2: Convert to fraction form
    175.64/264.60 = 148.31/x
  3. Step 3: Cross multiply
    175.64x = 264.60 × 148.31
  4. Step 4: Simplify right side
    175.64x = 39,242.83
  5. Step 5: Solve for x
    x = 39,242.83/175.64
  6. Step 6: Final answer
    x = 223.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.