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Finding the Fourth Proportional to 295, 407.01 and 184.58

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Solution

The fourth proportional to 295, 407.01 and 184.58 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295 : 407.01 = 184.58 : x
  2. Step 2: Convert to fraction form
    295/407.01 = 184.58/x
  3. Step 3: Cross multiply
    295x = 407.01 × 184.58
  4. Step 4: Simplify right side
    295x = 75,125.91
  5. Step 5: Solve for x
    x = 75,125.91/295
  6. Step 6: Final answer
    x = 254.66

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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.