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Finding the Fourth Proportional to 309, 463.70 and 157

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Solution

The fourth proportional to 309, 463.70 and 157 is: 235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 463.70 = 157 : x
  2. Step 2: Convert to fraction form
    309/463.70 = 157/x
  3. Step 3: Cross multiply
    309x = 463.70 × 157
  4. Step 4: Simplify right side
    309x = 72,800.90
  5. Step 5: Solve for x
    x = 72,800.90/309
  6. Step 6: Final answer
    x = 235.60

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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.