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Finding the Fourth Proportional to 256.09, 383.76 and 101.86

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Solution

The fourth proportional to 256.09, 383.76 and 101.86 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.09 : 383.76 = 101.86 : x
  2. Step 2: Convert to fraction form
    256.09/383.76 = 101.86/x
  3. Step 3: Cross multiply
    256.09x = 383.76 × 101.86
  4. Step 4: Simplify right side
    256.09x = 39,089.79
  5. Step 5: Solve for x
    x = 39,089.79/256.09
  6. Step 6: Final answer
    x = 152.64

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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.