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Finding the Fourth Proportional to 255.93, 383.78 and 101.82

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Solution

The fourth proportional to 255.93, 383.78 and 101.82 is: 152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.93 : 383.78 = 101.82 : x
  2. Step 2: Convert to fraction form
    255.93/383.78 = 101.82/x
  3. Step 3: Cross multiply
    255.93x = 383.78 × 101.82
  4. Step 4: Simplify right side
    255.93x = 39,075.97
  5. Step 5: Solve for x
    x = 39,075.97/255.93
  6. Step 6: Final answer
    x = 152.68

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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.