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Finding the Fourth Proportional to 295.54, 441.36 and 237.84

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Solution

The fourth proportional to 295.54, 441.36 and 237.84 is: 355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.54 : 441.36 = 237.84 : x
  2. Step 2: Convert to fraction form
    295.54/441.36 = 237.84/x
  3. Step 3: Cross multiply
    295.54x = 441.36 × 237.84
  4. Step 4: Simplify right side
    295.54x = 104,973.06
  5. Step 5: Solve for x
    x = 104,973.06/295.54
  6. Step 6: Final answer
    x = 355.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.