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Finding the Fourth Proportional to 285.01, 427.45 and 138.76

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Solution

The fourth proportional to 285.01, 427.45 and 138.76 is: 208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.01 : 427.45 = 138.76 : x
  2. Step 2: Convert to fraction form
    285.01/427.45 = 138.76/x
  3. Step 3: Cross multiply
    285.01x = 427.45 × 138.76
  4. Step 4: Simplify right side
    285.01x = 59,312.96
  5. Step 5: Solve for x
    x = 59,312.96/285.01
  6. Step 6: Final answer
    x = 208.11

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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.