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Finding the Fourth Proportional to 281.01, 387.77 and 156.67

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Solution

The fourth proportional to 281.01, 387.77 and 156.67 is: 216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.01 : 387.77 = 156.67 : x
  2. Step 2: Convert to fraction form
    281.01/387.77 = 156.67/x
  3. Step 3: Cross multiply
    281.01x = 387.77 × 156.67
  4. Step 4: Simplify right side
    281.01x = 60,751.35
  5. Step 5: Solve for x
    x = 60,751.35/281.01
  6. Step 6: Final answer
    x = 216.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.