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Finding the Fourth Proportional to 255.98, 383.91 and 73.34

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Solution

The fourth proportional to 255.98, 383.91 and 73.34 is: 109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 383.91 = 73.34 : x
  2. Step 2: Convert to fraction form
    255.98/383.91 = 73.34/x
  3. Step 3: Cross multiply
    255.98x = 383.91 × 73.34
  4. Step 4: Simplify right side
    255.98x = 28,154.04
  5. Step 5: Solve for x
    x = 28,154.04/255.98
  6. Step 6: Final answer
    x = 109.99

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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.