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Finding the Fourth Proportional to 347.50, 521.20 and 152.46

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Solution

The fourth proportional to 347.50, 521.20 and 152.46 is: 228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.50 : 521.20 = 152.46 : x
  2. Step 2: Convert to fraction form
    347.50/521.20 = 152.46/x
  3. Step 3: Cross multiply
    347.50x = 521.20 × 152.46
  4. Step 4: Simplify right side
    347.50x = 79,462.15
  5. Step 5: Solve for x
    x = 79,462.15/347.50
  6. Step 6: Final answer
    x = 228.67

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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.