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Finding the Fourth Proportional to 501.36, 752.10 and 136.16

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Solution

The fourth proportional to 501.36, 752.10 and 136.16 is: 204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 752.10 = 136.16 : x
  2. Step 2: Convert to fraction form
    501.36/752.10 = 136.16/x
  3. Step 3: Cross multiply
    501.36x = 752.10 × 136.16
  4. Step 4: Simplify right side
    501.36x = 102,405.94
  5. Step 5: Solve for x
    x = 102,405.94/501.36
  6. Step 6: Final answer
    x = 204.26

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