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Finding the Fourth Proportional to 255.86, 383.51 and 101.57

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Solution

The fourth proportional to 255.86, 383.51 and 101.57 is: 152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 383.51 = 101.57 : x
  2. Step 2: Convert to fraction form
    255.86/383.51 = 101.57/x
  3. Step 3: Cross multiply
    255.86x = 383.51 × 101.57
  4. Step 4: Simplify right side
    255.86x = 38,950.69
  5. Step 5: Solve for x
    x = 38,950.69/255.86
  6. Step 6: Final answer
    x = 152.24

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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.