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Finding the Fourth Proportional to 368.60, 552.81 and 183.31

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Solution

The fourth proportional to 368.60, 552.81 and 183.31 is: 274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.60 : 552.81 = 183.31 : x
  2. Step 2: Convert to fraction form
    368.60/552.81 = 183.31/x
  3. Step 3: Cross multiply
    368.60x = 552.81 × 183.31
  4. Step 4: Simplify right side
    368.60x = 101,332.84
  5. Step 5: Solve for x
    x = 101,332.84/368.60
  6. Step 6: Final answer
    x = 274.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.