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Finding the Fourth Proportional to 313.55, 432.54 and 202.99

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Solution

The fourth proportional to 313.55, 432.54 and 202.99 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.55 : 432.54 = 202.99 : x
  2. Step 2: Convert to fraction form
    313.55/432.54 = 202.99/x
  3. Step 3: Cross multiply
    313.55x = 432.54 × 202.99
  4. Step 4: Simplify right side
    313.55x = 87,800.21
  5. Step 5: Solve for x
    x = 87,800.21/313.55
  6. Step 6: Final answer
    x = 280.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.