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Finding the Fourth Proportional to 462.45, 693.18 and 188.40

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Solution

The fourth proportional to 462.45, 693.18 and 188.40 is: 282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 693.18 = 188.40 : x
  2. Step 2: Convert to fraction form
    462.45/693.18 = 188.40/x
  3. Step 3: Cross multiply
    462.45x = 693.18 × 188.40
  4. Step 4: Simplify right side
    462.45x = 130,595.11
  5. Step 5: Solve for x
    x = 130,595.11/462.45
  6. Step 6: Final answer
    x = 282.40

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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.