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Finding the Fourth Proportional to 255.53, 383.29 and 118.53

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Solution

The fourth proportional to 255.53, 383.29 and 118.53 is: 177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.53 : 383.29 = 118.53 : x
  2. Step 2: Convert to fraction form
    255.53/383.29 = 118.53/x
  3. Step 3: Cross multiply
    255.53x = 383.29 × 118.53
  4. Step 4: Simplify right side
    255.53x = 45,431.07
  5. Step 5: Solve for x
    x = 45,431.07/255.53
  6. Step 6: Final answer
    x = 177.79

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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.