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Finding the Fourth Proportional to 315.76, 473.64 and 99.32

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Solution

The fourth proportional to 315.76, 473.64 and 99.32 is: 148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 473.64 = 99.32 : x
  2. Step 2: Convert to fraction form
    315.76/473.64 = 99.32/x
  3. Step 3: Cross multiply
    315.76x = 473.64 × 99.32
  4. Step 4: Simplify right side
    315.76x = 47,041.92
  5. Step 5: Solve for x
    x = 47,041.92/315.76
  6. Step 6: Final answer
    x = 148.98

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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.