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Finding the Fourth Proportional to 294.48, 406.26 and 184

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Solution

The fourth proportional to 294.48, 406.26 and 184 is: 253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 406.26 = 184 : x
  2. Step 2: Convert to fraction form
    294.48/406.26 = 184/x
  3. Step 3: Cross multiply
    294.48x = 406.26 × 184
  4. Step 4: Simplify right side
    294.48x = 74,751.84
  5. Step 5: Solve for x
    x = 74,751.84/294.48
  6. Step 6: Final answer
    x = 253.84

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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.