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Finding the Fourth Proportional to 375.98, 565.04 and 183.74

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Solution

The fourth proportional to 375.98, 565.04 and 183.74 is: 276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.98 : 565.04 = 183.74 : x
  2. Step 2: Convert to fraction form
    375.98/565.04 = 183.74/x
  3. Step 3: Cross multiply
    375.98x = 565.04 × 183.74
  4. Step 4: Simplify right side
    375.98x = 103,820.45
  5. Step 5: Solve for x
    x = 103,820.45/375.98
  6. Step 6: Final answer
    x = 276.13

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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.