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Finding the Fourth Proportional to 333.70, 500.58 and 102.54

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Solution

The fourth proportional to 333.70, 500.58 and 102.54 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.70 : 500.58 = 102.54 : x
  2. Step 2: Convert to fraction form
    333.70/500.58 = 102.54/x
  3. Step 3: Cross multiply
    333.70x = 500.58 × 102.54
  4. Step 4: Simplify right side
    333.70x = 51,329.47
  5. Step 5: Solve for x
    x = 51,329.47/333.70
  6. Step 6: Final answer
    x = 153.82

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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.