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Finding the Fourth Proportional to 441.12, 661.70 and 152.58

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Solution

The fourth proportional to 441.12, 661.70 and 152.58 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 661.70 = 152.58 : x
  2. Step 2: Convert to fraction form
    441.12/661.70 = 152.58/x
  3. Step 3: Cross multiply
    441.12x = 661.70 × 152.58
  4. Step 4: Simplify right side
    441.12x = 100,962.19
  5. Step 5: Solve for x
    x = 100,962.19/441.12
  6. Step 6: Final answer
    x = 228.88

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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.