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Finding the Fourth Proportional to 256.65, 382.28 and 253.50

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Solution

The fourth proportional to 256.65, 382.28 and 253.50 is: 377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.65 : 382.28 = 253.50 : x
  2. Step 2: Convert to fraction form
    256.65/382.28 = 253.50/x
  3. Step 3: Cross multiply
    256.65x = 382.28 × 253.50
  4. Step 4: Simplify right side
    256.65x = 96,907.98
  5. Step 5: Solve for x
    x = 96,907.98/256.65
  6. Step 6: Final answer
    x = 377.59

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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.