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Finding the Fourth Proportional to 255.60, 382.80 and 194.40

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Solution

The fourth proportional to 255.60, 382.80 and 194.40 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 382.80 = 194.40 : x
  2. Step 2: Convert to fraction form
    255.60/382.80 = 194.40/x
  3. Step 3: Cross multiply
    255.60x = 382.80 × 194.40
  4. Step 4: Simplify right side
    255.60x = 74,416.32
  5. Step 5: Solve for x
    x = 74,416.32/255.60
  6. Step 6: Final answer
    x = 291.14

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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.