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Finding the Fourth Proportional to 255.60, 383.26 and 101.38

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Solution

The fourth proportional to 255.60, 383.26 and 101.38 is: 152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 383.26 = 101.38 : x
  2. Step 2: Convert to fraction form
    255.60/383.26 = 101.38/x
  3. Step 3: Cross multiply
    255.60x = 383.26 × 101.38
  4. Step 4: Simplify right side
    255.60x = 38,854.90
  5. Step 5: Solve for x
    x = 38,854.90/255.60
  6. Step 6: Final answer
    x = 152.01

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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.