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Finding the Fourth Proportional to 377.09, 565.41 and 117.02

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Solution

The fourth proportional to 377.09, 565.41 and 117.02 is: 175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.09 : 565.41 = 117.02 : x
  2. Step 2: Convert to fraction form
    377.09/565.41 = 117.02/x
  3. Step 3: Cross multiply
    377.09x = 565.41 × 117.02
  4. Step 4: Simplify right side
    377.09x = 66,161.23
  5. Step 5: Solve for x
    x = 66,161.23/377.09
  6. Step 6: Final answer
    x = 175.45

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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.