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Finding the Fourth Proportional to 202.02, 278.13 and 176.14

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Solution

The fourth proportional to 202.02, 278.13 and 176.14 is: 242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.02 : 278.13 = 176.14 : x
  2. Step 2: Convert to fraction form
    202.02/278.13 = 176.14/x
  3. Step 3: Cross multiply
    202.02x = 278.13 × 176.14
  4. Step 4: Simplify right side
    202.02x = 48,989.82
  5. Step 5: Solve for x
    x = 48,989.82/202.02
  6. Step 6: Final answer
    x = 242.50

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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.