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Finding the Fourth Proportional to 310, 465 and 117.70

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Solution

The fourth proportional to 310, 465 and 117.70 is: 176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310 : 465 = 117.70 : x
  2. Step 2: Convert to fraction form
    310/465 = 117.70/x
  3. Step 3: Cross multiply
    310x = 465 × 117.70
  4. Step 4: Simplify right side
    310x = 54,730.50
  5. Step 5: Solve for x
    x = 54,730.50/310
  6. Step 6: Final answer
    x = 176.55

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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.