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Finding the Fourth Proportional to 258.66, 357.04 and 148.23

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Solution

The fourth proportional to 258.66, 357.04 and 148.23 is: 204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.66 : 357.04 = 148.23 : x
  2. Step 2: Convert to fraction form
    258.66/357.04 = 148.23/x
  3. Step 3: Cross multiply
    258.66x = 357.04 × 148.23
  4. Step 4: Simplify right side
    258.66x = 52,924.22
  5. Step 5: Solve for x
    x = 52,924.22/258.66
  6. Step 6: Final answer
    x = 204.61

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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.