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Finding the Fourth Proportional to 184.42, 254.30 and 145

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Solution

The fourth proportional to 184.42, 254.30 and 145 is: 199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.42 : 254.30 = 145 : x
  2. Step 2: Convert to fraction form
    184.42/254.30 = 145/x
  3. Step 3: Cross multiply
    184.42x = 254.30 × 145
  4. Step 4: Simplify right side
    184.42x = 36,873.50
  5. Step 5: Solve for x
    x = 36,873.50/184.42
  6. Step 6: Final answer
    x = 199.94

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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.