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Finding the Fourth Proportional to 441.16, 661.74 and 152.59

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Solution

The fourth proportional to 441.16, 661.74 and 152.59 is: 228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.16 : 661.74 = 152.59 : x
  2. Step 2: Convert to fraction form
    441.16/661.74 = 152.59/x
  3. Step 3: Cross multiply
    441.16x = 661.74 × 152.59
  4. Step 4: Simplify right side
    441.16x = 100,974.91
  5. Step 5: Solve for x
    x = 100,974.91/441.16
  6. Step 6: Final answer
    x = 228.89

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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.