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Finding the Fourth Proportional to 501.26, 751.86 and 154.58

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Solution

The fourth proportional to 501.26, 751.86 and 154.58 is: 231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.26 : 751.86 = 154.58 : x
  2. Step 2: Convert to fraction form
    501.26/751.86 = 154.58/x
  3. Step 3: Cross multiply
    501.26x = 751.86 × 154.58
  4. Step 4: Simplify right side
    501.26x = 116,218.76
  5. Step 5: Solve for x
    x = 116,218.76/501.26
  6. Step 6: Final answer
    x = 231.86

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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.