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Finding the Fourth Proportional to 374.02, 561.03 and 204.10

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Solution

The fourth proportional to 374.02, 561.03 and 204.10 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.02 : 561.03 = 204.10 : x
  2. Step 2: Convert to fraction form
    374.02/561.03 = 204.10/x
  3. Step 3: Cross multiply
    374.02x = 561.03 × 204.10
  4. Step 4: Simplify right side
    374.02x = 114,502.40
  5. Step 5: Solve for x
    x = 114,502.40/374.02
  6. Step 6: Final answer
    x = 306.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.