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Finding the Fourth Proportional to 597.17, 895.85 and 186.25

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Solution

The fourth proportional to 597.17, 895.85 and 186.25 is: 279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 895.85 = 186.25 : x
  2. Step 2: Convert to fraction form
    597.17/895.85 = 186.25/x
  3. Step 3: Cross multiply
    597.17x = 895.85 × 186.25
  4. Step 4: Simplify right side
    597.17x = 166,847.58
  5. Step 5: Solve for x
    x = 166,847.58/597.17
  6. Step 6: Final answer
    x = 279.40

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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.