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Finding the Fourth Proportional to 255.60, 383.04 and 147.42

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Solution

The fourth proportional to 255.60, 383.04 and 147.42 is: 220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 383.04 = 147.42 : x
  2. Step 2: Convert to fraction form
    255.60/383.04 = 147.42/x
  3. Step 3: Cross multiply
    255.60x = 383.04 × 147.42
  4. Step 4: Simplify right side
    255.60x = 56,467.76
  5. Step 5: Solve for x
    x = 56,467.76/255.60
  6. Step 6: Final answer
    x = 220.92

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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.