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Finding the Fourth Proportional to 183.70, 253.65 and 145.06

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Solution

The fourth proportional to 183.70, 253.65 and 145.06 is: 200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.70 : 253.65 = 145.06 : x
  2. Step 2: Convert to fraction form
    183.70/253.65 = 145.06/x
  3. Step 3: Cross multiply
    183.70x = 253.65 × 145.06
  4. Step 4: Simplify right side
    183.70x = 36,794.47
  5. Step 5: Solve for x
    x = 36,794.47/183.70
  6. Step 6: Final answer
    x = 200.30

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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.