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Finding the Fourth Proportional to 346.53, 478.13 and 206.70

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Solution

The fourth proportional to 346.53, 478.13 and 206.70 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.53 : 478.13 = 206.70 : x
  2. Step 2: Convert to fraction form
    346.53/478.13 = 206.70/x
  3. Step 3: Cross multiply
    346.53x = 478.13 × 206.70
  4. Step 4: Simplify right side
    346.53x = 98,831.72
  5. Step 5: Solve for x
    x = 98,831.72/346.53
  6. Step 6: Final answer
    x = 285.20

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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.