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Finding the Fourth Proportional to 294.82, 407.06 and 184.35

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Solution

The fourth proportional to 294.82, 407.06 and 184.35 is: 254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.82 : 407.06 = 184.35 : x
  2. Step 2: Convert to fraction form
    294.82/407.06 = 184.35/x
  3. Step 3: Cross multiply
    294.82x = 407.06 × 184.35
  4. Step 4: Simplify right side
    294.82x = 75,038.55
  5. Step 5: Solve for x
    x = 75,038.55/294.82
  6. Step 6: Final answer
    x = 254.52

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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.