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Finding the Fourth Proportional to 255.84, 383.75 and 73.23

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Solution

The fourth proportional to 255.84, 383.75 and 73.23 is: 109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 383.75 = 73.23 : x
  2. Step 2: Convert to fraction form
    255.84/383.75 = 73.23/x
  3. Step 3: Cross multiply
    255.84x = 383.75 × 73.23
  4. Step 4: Simplify right side
    255.84x = 28,102.01
  5. Step 5: Solve for x
    x = 28,102.01/255.84
  6. Step 6: Final answer
    x = 109.84

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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.