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Finding the Fourth Proportional to 314.02, 471.48 and 152.02

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Solution

The fourth proportional to 314.02, 471.48 and 152.02 is: 228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 471.48 = 152.02 : x
  2. Step 2: Convert to fraction form
    314.02/471.48 = 152.02/x
  3. Step 3: Cross multiply
    314.02x = 471.48 × 152.02
  4. Step 4: Simplify right side
    314.02x = 71,674.39
  5. Step 5: Solve for x
    x = 71,674.39/314.02
  6. Step 6: Final answer
    x = 228.25

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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.