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Finding the Fourth Proportional to 595.16, 892.58 and 162.21

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Solution

The fourth proportional to 595.16, 892.58 and 162.21 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.16 : 892.58 = 162.21 : x
  2. Step 2: Convert to fraction form
    595.16/892.58 = 162.21/x
  3. Step 3: Cross multiply
    595.16x = 892.58 × 162.21
  4. Step 4: Simplify right side
    595.16x = 144,784.59
  5. Step 5: Solve for x
    x = 144,784.59/595.16
  6. Step 6: Final answer
    x = 243.27

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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.