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Finding the Fourth Proportional to 315.49, 473.46 and 176.53

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Solution

The fourth proportional to 315.49, 473.46 and 176.53 is: 264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.49 : 473.46 = 176.53 : x
  2. Step 2: Convert to fraction form
    315.49/473.46 = 176.53/x
  3. Step 3: Cross multiply
    315.49x = 473.46 × 176.53
  4. Step 4: Simplify right side
    315.49x = 83,577.53
  5. Step 5: Solve for x
    x = 83,577.53/315.49
  6. Step 6: Final answer
    x = 264.91

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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.