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Finding the Fourth Proportional to 342.51, 472.65 and 187.25

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Solution

The fourth proportional to 342.51, 472.65 and 187.25 is: 258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 472.65 = 187.25 : x
  2. Step 2: Convert to fraction form
    342.51/472.65 = 187.25/x
  3. Step 3: Cross multiply
    342.51x = 472.65 × 187.25
  4. Step 4: Simplify right side
    342.51x = 88,502.78
  5. Step 5: Solve for x
    x = 88,502.78/342.51
  6. Step 6: Final answer
    x = 258.39

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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.