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Finding the Fourth Proportional to 316.67, 474.84 and 152.06

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Solution

The fourth proportional to 316.67, 474.84 and 152.06 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.67 : 474.84 = 152.06 : x
  2. Step 2: Convert to fraction form
    316.67/474.84 = 152.06/x
  3. Step 3: Cross multiply
    316.67x = 474.84 × 152.06
  4. Step 4: Simplify right side
    316.67x = 72,201.80
  5. Step 5: Solve for x
    x = 72,201.80/316.67
  6. Step 6: Final answer
    x = 228.01

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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.