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Finding the Fourth Proportional to 295.01, 407.18 and 184.46

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Solution

The fourth proportional to 295.01, 407.18 and 184.46 is: 254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.01 : 407.18 = 184.46 : x
  2. Step 2: Convert to fraction form
    295.01/407.18 = 184.46/x
  3. Step 3: Cross multiply
    295.01x = 407.18 × 184.46
  4. Step 4: Simplify right side
    295.01x = 75,105.46
  5. Step 5: Solve for x
    x = 75,105.46/295.01
  6. Step 6: Final answer
    x = 254.59

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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.