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Finding the Fourth Proportional to 333.69, 500.64 and 102.57

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Solution

The fourth proportional to 333.69, 500.64 and 102.57 is: 153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.69 : 500.64 = 102.57 : x
  2. Step 2: Convert to fraction form
    333.69/500.64 = 102.57/x
  3. Step 3: Cross multiply
    333.69x = 500.64 × 102.57
  4. Step 4: Simplify right side
    333.69x = 51,350.64
  5. Step 5: Solve for x
    x = 51,350.64/333.69
  6. Step 6: Final answer
    x = 153.89

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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.