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Finding the Fourth Proportional to 501.49, 752.21 and 136.31

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Solution

The fourth proportional to 501.49, 752.21 and 136.31 is: 204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.49 : 752.21 = 136.31 : x
  2. Step 2: Convert to fraction form
    501.49/752.21 = 136.31/x
  3. Step 3: Cross multiply
    501.49x = 752.21 × 136.31
  4. Step 4: Simplify right side
    501.49x = 102,529.81
  5. Step 5: Solve for x
    x = 102,529.81/501.49
  6. Step 6: Final answer
    x = 204.45

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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.