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Finding the Fourth Proportional to 356.90, 536.01 and 213.50

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Solution

The fourth proportional to 356.90, 536.01 and 213.50 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.90 : 536.01 = 213.50 : x
  2. Step 2: Convert to fraction form
    356.90/536.01 = 213.50/x
  3. Step 3: Cross multiply
    356.90x = 536.01 × 213.50
  4. Step 4: Simplify right side
    356.90x = 114,438.14
  5. Step 5: Solve for x
    x = 114,438.14/356.90
  6. Step 6: Final answer
    x = 320.64

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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.