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Finding the Fourth Proportional to 597.13, 895.80 and 186.17

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Solution

The fourth proportional to 597.13, 895.80 and 186.17 is: 279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.13 : 895.80 = 186.17 : x
  2. Step 2: Convert to fraction form
    597.13/895.80 = 186.17/x
  3. Step 3: Cross multiply
    597.13x = 895.80 × 186.17
  4. Step 4: Simplify right side
    597.13x = 166,771.09
  5. Step 5: Solve for x
    x = 166,771.09/597.13
  6. Step 6: Final answer
    x = 279.29

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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.