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Finding the Fourth Proportional to 314.02, 432.97 and 203.45

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Solution

The fourth proportional to 314.02, 432.97 and 203.45 is: 280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 432.97 = 203.45 : x
  2. Step 2: Convert to fraction form
    314.02/432.97 = 203.45/x
  3. Step 3: Cross multiply
    314.02x = 432.97 × 203.45
  4. Step 4: Simplify right side
    314.02x = 88,088.32
  5. Step 5: Solve for x
    x = 88,088.32/314.02
  6. Step 6: Final answer
    x = 280.52

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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.