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Finding the Fourth Proportional to 261.16, 392.18 and 256.64

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Solution

The fourth proportional to 261.16, 392.18 and 256.64 is: 385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.16 : 392.18 = 256.64 : x
  2. Step 2: Convert to fraction form
    261.16/392.18 = 256.64/x
  3. Step 3: Cross multiply
    261.16x = 392.18 × 256.64
  4. Step 4: Simplify right side
    261.16x = 100,649.08
  5. Step 5: Solve for x
    x = 100,649.08/261.16
  6. Step 6: Final answer
    x = 385.39

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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.