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Finding the Fourth Proportional to 315.02, 471.81 and 193.10

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Solution

The fourth proportional to 315.02, 471.81 and 193.10 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.02 : 471.81 = 193.10 : x
  2. Step 2: Convert to fraction form
    315.02/471.81 = 193.10/x
  3. Step 3: Cross multiply
    315.02x = 471.81 × 193.10
  4. Step 4: Simplify right side
    315.02x = 91,106.51
  5. Step 5: Solve for x
    x = 91,106.51/315.02
  6. Step 6: Final answer
    x = 289.21

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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.