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Finding the Fourth Proportional to 201.00, 277.51 and 152.14

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Solution

The fourth proportional to 201.00, 277.51 and 152.14 is: 210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.00 : 277.51 = 152.14 : x
  2. Step 2: Convert to fraction form
    201.00/277.51 = 152.14/x
  3. Step 3: Cross multiply
    201.00x = 277.51 × 152.14
  4. Step 4: Simplify right side
    201.00x = 42,220.37
  5. Step 5: Solve for x
    x = 42,220.37/201.00
  6. Step 6: Final answer
    x = 210.06

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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.