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Finding the Fourth Proportional to 255.58, 380.95 and 253.12

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Solution

The fourth proportional to 255.58, 380.95 and 253.12 is: 377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.58 : 380.95 = 253.12 : x
  2. Step 2: Convert to fraction form
    255.58/380.95 = 253.12/x
  3. Step 3: Cross multiply
    255.58x = 380.95 × 253.12
  4. Step 4: Simplify right side
    255.58x = 96,426.06
  5. Step 5: Solve for x
    x = 96,426.06/255.58
  6. Step 6: Final answer
    x = 377.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.