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Finding the Fourth Proportional to 501.11, 751.78 and 154.46

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Solution

The fourth proportional to 501.11, 751.78 and 154.46 is: 231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.11 : 751.78 = 154.46 : x
  2. Step 2: Convert to fraction form
    501.11/751.78 = 154.46/x
  3. Step 3: Cross multiply
    501.11x = 751.78 × 154.46
  4. Step 4: Simplify right side
    501.11x = 116,117.78
  5. Step 5: Solve for x
    x = 116,117.78/501.11
  6. Step 6: Final answer
    x = 231.72

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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.