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Finding the Fourth Proportional to 450.76, 675.84 and 162.16

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Solution

The fourth proportional to 450.76, 675.84 and 162.16 is: 243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.76 : 675.84 = 162.16 : x
  2. Step 2: Convert to fraction form
    450.76/675.84 = 162.16/x
  3. Step 3: Cross multiply
    450.76x = 675.84 × 162.16
  4. Step 4: Simplify right side
    450.76x = 109,594.21
  5. Step 5: Solve for x
    x = 109,594.21/450.76
  6. Step 6: Final answer
    x = 243.13

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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.