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Finding the Fourth Proportional to 258.94, 357.51 and 176.05

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Solution

The fourth proportional to 258.94, 357.51 and 176.05 is: 243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.94 : 357.51 = 176.05 : x
  2. Step 2: Convert to fraction form
    258.94/357.51 = 176.05/x
  3. Step 3: Cross multiply
    258.94x = 357.51 × 176.05
  4. Step 4: Simplify right side
    258.94x = 62,939.64
  5. Step 5: Solve for x
    x = 62,939.64/258.94
  6. Step 6: Final answer
    x = 243.07

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Why These Related Problems?

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