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Finding the Fourth Proportional to 368.51, 553.04 and 137.57

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Solution

The fourth proportional to 368.51, 553.04 and 137.57 is: 206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.51 : 553.04 = 137.57 : x
  2. Step 2: Convert to fraction form
    368.51/553.04 = 137.57/x
  3. Step 3: Cross multiply
    368.51x = 553.04 × 137.57
  4. Step 4: Simplify right side
    368.51x = 76,079.29
  5. Step 5: Solve for x
    x = 76,079.29/368.51
  6. Step 6: Final answer
    x = 206.45

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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.