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Finding the Fourth Proportional to 294.02, 405.54 and 189.11

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Solution

The fourth proportional to 294.02, 405.54 and 189.11 is: 260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.02 : 405.54 = 189.11 : x
  2. Step 2: Convert to fraction form
    294.02/405.54 = 189.11/x
  3. Step 3: Cross multiply
    294.02x = 405.54 × 189.11
  4. Step 4: Simplify right side
    294.02x = 76,691.67
  5. Step 5: Solve for x
    x = 76,691.67/294.02
  6. Step 6: Final answer
    x = 260.84

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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.