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Finding the Fourth Proportional to 255.66, 383.43 and 118.77

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Solution

The fourth proportional to 255.66, 383.43 and 118.77 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 383.43 = 118.77 : x
  2. Step 2: Convert to fraction form
    255.66/383.43 = 118.77/x
  3. Step 3: Cross multiply
    255.66x = 383.43 × 118.77
  4. Step 4: Simplify right side
    255.66x = 45,538.99
  5. Step 5: Solve for x
    x = 45,538.99/255.66
  6. Step 6: Final answer
    x = 178.13

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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.