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Finding the Fourth Proportional to 565.97, 848.73 and 176.00

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Solution

The fourth proportional to 565.97, 848.73 and 176.00 is: 263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.97 : 848.73 = 176.00 : x
  2. Step 2: Convert to fraction form
    565.97/848.73 = 176.00/x
  3. Step 3: Cross multiply
    565.97x = 848.73 × 176.00
  4. Step 4: Simplify right side
    565.97x = 149,372.24
  5. Step 5: Solve for x
    x = 149,372.24/565.97
  6. Step 6: Final answer
    x = 263.92

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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.