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Finding the Fourth Proportional to 211.70, 317.65 and 160.32

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Solution

The fourth proportional to 211.70, 317.65 and 160.32 is: 240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.70 : 317.65 = 160.32 : x
  2. Step 2: Convert to fraction form
    211.70/317.65 = 160.32/x
  3. Step 3: Cross multiply
    211.70x = 317.65 × 160.32
  4. Step 4: Simplify right side
    211.70x = 50,925.25
  5. Step 5: Solve for x
    x = 50,925.25/211.70
  6. Step 6: Final answer
    x = 240.56

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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.