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Finding the Fourth Proportional to 294.72, 406.65 and 189.64

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Solution

The fourth proportional to 294.72, 406.65 and 189.64 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.72 : 406.65 = 189.64 : x
  2. Step 2: Convert to fraction form
    294.72/406.65 = 189.64/x
  3. Step 3: Cross multiply
    294.72x = 406.65 × 189.64
  4. Step 4: Simplify right side
    294.72x = 77,117.11
  5. Step 5: Solve for x
    x = 77,117.11/294.72
  6. Step 6: Final answer
    x = 261.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.