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Finding the Fourth Proportional to 261.68, 390.74 and 234.08

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Solution

The fourth proportional to 261.68, 390.74 and 234.08 is: 349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 390.74 = 234.08 : x
  2. Step 2: Convert to fraction form
    261.68/390.74 = 234.08/x
  3. Step 3: Cross multiply
    261.68x = 390.74 × 234.08
  4. Step 4: Simplify right side
    261.68x = 91,464.42
  5. Step 5: Solve for x
    x = 91,464.42/261.68
  6. Step 6: Final answer
    x = 349.53

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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.