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Finding the Fourth Proportional to 597.00, 895.37 and 164.05

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Solution

The fourth proportional to 597.00, 895.37 and 164.05 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.00 : 895.37 = 164.05 : x
  2. Step 2: Convert to fraction form
    597.00/895.37 = 164.05/x
  3. Step 3: Cross multiply
    597.00x = 895.37 × 164.05
  4. Step 4: Simplify right side
    597.00x = 146,888.10
  5. Step 5: Solve for x
    x = 146,888.10/597.00
  6. Step 6: Final answer
    x = 246.04

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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.