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Finding the Fourth Proportional to 259.10, 386.16 and 256.95

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Solution

The fourth proportional to 259.10, 386.16 and 256.95 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 386.16 = 256.95 : x
  2. Step 2: Convert to fraction form
    259.10/386.16 = 256.95/x
  3. Step 3: Cross multiply
    259.10x = 386.16 × 256.95
  4. Step 4: Simplify right side
    259.10x = 99,225.47
  5. Step 5: Solve for x
    x = 99,225.47/259.10
  6. Step 6: Final answer
    x = 382.96

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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.