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Finding the Fourth Proportional to 315.35, 473.13 and 152.99

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Solution

The fourth proportional to 315.35, 473.13 and 152.99 is: 229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 473.13 = 152.99 : x
  2. Step 2: Convert to fraction form
    315.35/473.13 = 152.99/x
  3. Step 3: Cross multiply
    315.35x = 473.13 × 152.99
  4. Step 4: Simplify right side
    315.35x = 72,384.16
  5. Step 5: Solve for x
    x = 72,384.16/315.35
  6. Step 6: Final answer
    x = 229.54

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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.