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Finding the Fourth Proportional to 353.77, 530.47 and 137.23

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Solution

The fourth proportional to 353.77, 530.47 and 137.23 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.77 : 530.47 = 137.23 : x
  2. Step 2: Convert to fraction form
    353.77/530.47 = 137.23/x
  3. Step 3: Cross multiply
    353.77x = 530.47 × 137.23
  4. Step 4: Simplify right side
    353.77x = 72,796.40
  5. Step 5: Solve for x
    x = 72,796.40/353.77
  6. Step 6: Final answer
    x = 205.77

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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.