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Finding the Fourth Proportional to 314.01, 432.93 and 201.77

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Solution

The fourth proportional to 314.01, 432.93 and 201.77 is: 278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.01 : 432.93 = 201.77 : x
  2. Step 2: Convert to fraction form
    314.01/432.93 = 201.77/x
  3. Step 3: Cross multiply
    314.01x = 432.93 × 201.77
  4. Step 4: Simplify right side
    314.01x = 87,354.94
  5. Step 5: Solve for x
    x = 87,354.94/314.01
  6. Step 6: Final answer
    x = 278.19

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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.