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Finding the Fourth Proportional to 200.01, 275.59 and 177.94

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Solution

The fourth proportional to 200.01, 275.59 and 177.94 is: 245.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.01 : 275.59 = 177.94 : x
  2. Step 2: Convert to fraction form
    200.01/275.59 = 177.94/x
  3. Step 3: Cross multiply
    200.01x = 275.59 × 177.94
  4. Step 4: Simplify right side
    200.01x = 49,038.48
  5. Step 5: Solve for x
    x = 49,038.48/200.01
  6. Step 6: Final answer
    x = 245.18

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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.