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Finding the Fourth Proportional to 200.84, 277.21 and 156.58

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Solution

The fourth proportional to 200.84, 277.21 and 156.58 is: 216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.84 : 277.21 = 156.58 : x
  2. Step 2: Convert to fraction form
    200.84/277.21 = 156.58/x
  3. Step 3: Cross multiply
    200.84x = 277.21 × 156.58
  4. Step 4: Simplify right side
    200.84x = 43,405.54
  5. Step 5: Solve for x
    x = 43,405.54/200.84
  6. Step 6: Final answer
    x = 216.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.