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Finding the Fourth Proportional to 565.12, 847.65 and 175.10

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Solution

The fourth proportional to 565.12, 847.65 and 175.10 is: 262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 847.65 = 175.10 : x
  2. Step 2: Convert to fraction form
    565.12/847.65 = 175.10/x
  3. Step 3: Cross multiply
    565.12x = 847.65 × 175.10
  4. Step 4: Simplify right side
    565.12x = 148,423.52
  5. Step 5: Solve for x
    x = 148,423.52/565.12
  6. Step 6: Final answer
    x = 262.64

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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.