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Finding the Fourth Proportional to 345.42, 517.68 and 183.06

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Solution

The fourth proportional to 345.42, 517.68 and 183.06 is: 274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.42 : 517.68 = 183.06 : x
  2. Step 2: Convert to fraction form
    345.42/517.68 = 183.06/x
  3. Step 3: Cross multiply
    345.42x = 517.68 × 183.06
  4. Step 4: Simplify right side
    345.42x = 94,766.50
  5. Step 5: Solve for x
    x = 94,766.50/345.42
  6. Step 6: Final answer
    x = 274.35

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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.