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Finding the Fourth Proportional to 201.04, 277.50 and 178

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Solution

The fourth proportional to 201.04, 277.50 and 178 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.04 : 277.50 = 178 : x
  2. Step 2: Convert to fraction form
    201.04/277.50 = 178/x
  3. Step 3: Cross multiply
    201.04x = 277.50 × 178
  4. Step 4: Simplify right side
    201.04x = 49,395
  5. Step 5: Solve for x
    x = 49,395/201.04
  6. Step 6: Final answer
    x = 245.70

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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.