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Finding the Fourth Proportional to 294.16, 405.90 and 177.68

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Solution

The fourth proportional to 294.16, 405.90 and 177.68 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 405.90 = 177.68 : x
  2. Step 2: Convert to fraction form
    294.16/405.90 = 177.68/x
  3. Step 3: Cross multiply
    294.16x = 405.90 × 177.68
  4. Step 4: Simplify right side
    294.16x = 72,120.31
  5. Step 5: Solve for x
    x = 72,120.31/294.16
  6. Step 6: Final answer
    x = 245.17

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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.