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Finding the Fourth Proportional to 440.77, 661.20 and 152.14

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Solution

The fourth proportional to 440.77, 661.20 and 152.14 is: 228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.77 : 661.20 = 152.14 : x
  2. Step 2: Convert to fraction form
    440.77/661.20 = 152.14/x
  3. Step 3: Cross multiply
    440.77x = 661.20 × 152.14
  4. Step 4: Simplify right side
    440.77x = 100,594.97
  5. Step 5: Solve for x
    x = 100,594.97/440.77
  6. Step 6: Final answer
    x = 228.23

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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.